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all right , let 's see if we can find the limit of 1 over the square root of 2 sine of theta over cosine of 2 theta , as theta approaches negative pi over 4 . and like always , try to give it a shot before we go through it together . well , one take on it is well , let 's just , let 's just say that this is going to b...
so if i have 1 plus the square root of 2 , sine theta , over cosine 2 theta , as you can imagine , the things that might be useful here are our trig identities and in particular , cosine of 2 theta seems interesting . let me write some trig identities involving cosine of 2 theta . i 'll write it over here .
is it required for ap calculus ab to memorize all the trig identities ?
all right , let 's see if we can find the limit of 1 over the square root of 2 sine of theta over cosine of 2 theta , as theta approaches negative pi over 4 . and like always , try to give it a shot before we go through it together . well , one take on it is well , let 's just , let 's just say that this is going to b...
if we 're dealing with this over , you know , with this open interval , wait , actually , even disregarding that , theta , this theta , or this expression is continuous at , it is defined and it is continuous at theta is equal to negative pi over 4 so this is just going to be equal to 1 over 1 minus the square root of ...
why is negative sin pi/4 equal to root of 2 over 2 ?
all right , let 's see if we can find the limit of 1 over the square root of 2 sine of theta over cosine of 2 theta , as theta approaches negative pi over 4 . and like always , try to give it a shot before we go through it together . well , one take on it is well , let 's just , let 's just say that this is going to b...
well , cosine of that is just going to be zero , so what we end up with is equal to zero over zero , and as we 've talked about before , if we had something non-zero divided by zero , we 'd say , okay , that 's undefined . we might as well give up , but we have this indeterminate form , it does not mean the limit does ...
how come indeterminate results ( 0/0 ) , after attempting substituting for the limit , automatically guarantee that the limit does exist ?
all right , let 's see if we can find the limit of 1 over the square root of 2 sine of theta over cosine of 2 theta , as theta approaches negative pi over 4 . and like always , try to give it a shot before we go through it together . well , one take on it is well , let 's just , let 's just say that this is going to b...
and so , i want to be very clear . this expression is not the same thing as this expression . they are the same thing at all values of theta , especially if we 're dealing in this open interval except at theta equals negative pi over 4 .
when you get to the simplified expression , why do you have to make another function with the same expression all the time ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what makes acceleration a vector quantity in this example ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
i 'm just a bit curious but if velocity is a vector quantity and the speed/rate is a scalar quantity , is there a corresponding value to acceleration that is a scalar quantity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
how do you obtain the acceleration if you are given the initial and final velocities over a given distance ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
they 'll say that a porsche 911 , they 'll literally measure it with a stopwatch , can go 0 to 60 miles per hour . and these are n't the exact numbers , although i think it 's probably pretty close . 0 to 60 miles per hour in , let 's say , 3 seconds .
is n't supposed to be speed ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction . it also makes sense because velocity itself is a vector quantity . it needs magnitude and direction . so the acceleration here -- and we 're j...
so speed without direction is a scalar quality and velocity is speed with direction making it a vector quality , right ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
if an object is accelerating in a circle , will the total acceleration be zero ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
is there a scalar version of acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
can the object move with uniform velocity and keeps accelerating ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so this makes a little bit more sense from an acceleration point of view . 1/180 miles per second , per second . every second , this porsche 911 is going to go 1/180 of a mile per second faster . and actually , it 's probably more intuitive to stick to the miles per hour , because that 's something that we have a littl...
how do you define time in the sense wat is one second equal to ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
is speed and velocity is equall ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there .
what is the sign for displacement ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so change in velocity . this delta symbol right here just means `` change in . '' change in velocity over time .
what is the delta symbol ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
since the rate of change of velocity is acceleration , what would the rate of change of speed be ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so this makes a little bit more sense from an acceleration point of view . 1/180 miles per second , per second . every second , this porsche 911 is going to go 1/180 of a mile per second faster . and actually , it 's probably more intuitive to stick to the miles per hour , because that 's something that we have a littl...
also how second square works in acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what is the si unit of acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
let me write this down . so this becomes , this top part is 60 . 60 divided by 3 is 20 .
what do the arrows on top of the letters mean ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
will the acceleration be negative ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so change in velocity . this delta symbol right here just means `` change in . '' change in velocity over time .
why a dot is used to represent a multiplication symbol ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
i mean , we could say , 0 miles per hour to the east to 60 miles per hour to the east in 3 seconds . so what was the acceleration here ? so i just told you the definition of acceleration . it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not...
is there an equal value of acceleration for scalars , for example , can you calculate the `` acceleration '' of an object if you are given a speed , not a velocity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
can acceleration and velocity have opposite signs ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
how can acceleration be positive when velocity is negative ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
if minus acceleration is deceleration , is minus deceleration acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so this makes a little bit more sense from an acceleration point of view . 1/180 miles per second , per second . every second , this porsche 911 is going to go 1/180 of a mile per second faster .
if a car is accelerating at 4m/s^2 , does this mean that each second the speed increases by 4m/s ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
you want to know not only how much is velocity changing over time , you also care about the direction . it also makes sense because velocity itself is a vector quantity . it needs magnitude and direction .
would 'forwards ' also qualify as a vector ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
they 'll tell you something like , i do n't know , like a porsche -- and i 'm going to make up these numbers right over here . so let 's say that we have a porsche 911 . they 'll say that a porsche 911 , they 'll literally measure it with a stopwatch , can go 0 to 60 miles per hour .
so , let 's say my boat goes 15km/h forwards , would that make it a vector quantity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
this delta symbol right here just means `` change in . '' change in velocity over time . it 's really , as i 've mentioned in previous videos , it 's really time is really a change in time .
does velocity have anything to do with time ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what is the formula for acceleration like i know it 's v/t but like how force= mass x acceleration so in my text book mass is given and force so what will be the formula to find acceleration : ' ) ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
is acceleration a vector quantity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
is n't acceleration similar to torque in some way ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
this delta symbol right here just means `` change in . '' change in velocity over time . it 's really , as i 've mentioned in previous videos , it 's really time is really a change in time .
change in velocity in time is acceleration and change in speed in time is called ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
can the direction given for a velocity be `` forward '' ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
if a car is moving at a steady velocity , is it accelerating ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
is acceleration and velocity the same or similar ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and then will be equal to 20/3600 . 20/3600 miles per seconds times seconds . or we could say , miles -- let me write it this way -- miles per seconds times seconds .
if the car was slowing down would it be negative 20 meters per seconds over seconds ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what exactly is negative and positive acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
this is probably not what the speedometer for a porsche looks like . this is probably more analogous to a small four cylinder car 's speedometer . i suspect the porsche 's speedometer goes much beyond 60 miles per hour .
what was the force generated when the car hit the tree ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
the acceleration written as alpha symbol instead of `` a '' does it okay ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
is acceleration change in speed , change in velocity , or are they interchangeable ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what is the acceleration due to gravity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
if there is negative acceleration , does speed of an object lessen ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
does his definition mean the velocity increases and decreases ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
if the ball rolls 12m up the hill before coming to a stop , what was the acceleration ( in m/s^2 ) experienced by the ball as it went up ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
you explain how to get average acceleration and average velocity , but how do you get instantaneous velocity or instantaneous acceleration from a graph or from data in a word problem ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
you want to know not only how much is velocity changing over time , you also care about the direction . it also makes sense because velocity itself is a vector quantity . it needs magnitude and direction .
why is gravity a vector quantity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
but we can rewrite it like this up here . this is 1/180 miles per second . and then we divide by seconds again , per second .
can we not use ms-1 instead of m/s ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so hopefully , with the way i 'm saying it , it makes a little bit of sense . 20 miles per hour , per second . that 's exactly what this is talking about .
how did sal get the miles per hour per second into the miles per hour multiply seconds ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
is n't the equation for acceleration force over mass ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
i suspect the porsche 's speedometer goes much beyond 60 miles per hour . but what you would see for something accelerating this fast is , right when you 're starting , the speedometer would be right there . and that every second it would be 20 miles per hour faster .
0 , when sal starts talking about the astronaut propelling himself by throwing something , why would the mass of the object be considered ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so miles per hour . and then we could either put seconds like this , or we could write per second . and let 's just think about what this is saying , and then we could get it all into seconds , or we could all get into hours , whatever we like .
therefore , would n't the man accelerate based solely on his own mass and the force he could generate , independent of how his force affected the object ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
you want to know not only how much is velocity changing over time , you also care about the direction . it also makes sense because velocity itself is a vector quantity . it needs magnitude and direction .
how can momentum be a form of a vector ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
is there a scalar quantity of acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
but we can rewrite it like this up here . this is 1/180 miles per second . and then we divide by seconds again , per second .
an animal top speed of 70mph if there are 0.62 miles in 1 kilometere , what is a animal speed in km/h ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
can a body have acceleration at rest ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
this delta symbol right here just means `` change in . '' change in velocity over time . it 's really , as i 've mentioned in previous videos , it 's really time is really a change in time .
if acceleration is the change in velocity over time , then what is the change in speed over time ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what makes acceleration a vector quantity in this video ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
this is saying that every second , this porsche 911 can increase its velocity by 20 miles per hour . so its acceleration is 20 miles per hour , per second . and actually , we should include the direction , because we 're talking about vector quantities .
when sal is giving a visual representation with a speedometer does n't the 20 mph/s represent an average acceleration of 20 mph/s , instead of an exact amount each second ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
is the change in velocity with the triangle the same as average velocity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what is the magnitude of acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
what is the difference between acceleration and velocity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
body goes into state of motion because of acceleration or velocity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
what is acceleration in the opposite direction of motion called ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
when is the velocity of a body is taken as negative ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so hopefully , with the way i 'm saying it , it makes a little bit of sense . 20 miles per hour , per second . that 's exactly what this is talking about .
if acceleration is 20 miles per hour per second then how can we multiply seconds with hour ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
is change in speed/ time also acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
or is acceleration exclusively a vector quantity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
this delta symbol right here just means `` change in . '' change in velocity over time . it 's really , as i 've mentioned in previous videos , it 's really time is really a change in time .
if not , is there a scalar term for change in speed/ time ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
is acceleration like an exponential function ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
why do we get two possible when solving for the time in a problem involving uniform acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
just confirming , if an object has uniform acceleration-it must have a constant velocity , and if an object has constant velocity , it has no acceleration ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction . it also makes sense because velocity itself is a vector quantity . it needs magnitude and direction .
i know that velocity is a vector and speed is a scalar but what difference does it make ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
yeah so technically speed is a scalar which only involves magnitude only and a velocity is a vector which involves magnitude and direction in which acceleration is the change in velocity so my question is : would acceleration be considered a vector ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
but we can rewrite it like this up here . this is 1/180 miles per second . and then we divide by seconds again , per second .
how would i change 1/180 m/s^2 to feet ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so it 's 60 minus 0 miles per hour . and then , what is our time ? what is our time over here ? well , our time is , or we could even say our change in time , our change in time is 3 seconds . so this gives us 20 miles per hour , per second .
is time vector / scalar ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
how is acceleration a vector quantity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
can without velocity , acceleration can be there ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
could n't you also have instantaneous acceleration and average acceleration , because what sal just explained is average acceleration right ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
why does not acceleration depend on the speed of an object ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
how exactly , is acceleration a vector ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and then will be equal to 20/3600 . 20/3600 miles per seconds times seconds . or we could say , miles -- let me write it this way -- miles per seconds times seconds .
assuming air resistance is negligible , how many seconds does it take the pen to reach a speed of 19.62 m/s ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
if acceleration is given can we find the distance travelled ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at all interested in cars , is that many times they will give you acce...
if the instantaneous velocity of an object is zero , then its acceleration must be what ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
since velocity has to have a direction , why do we have to put an arrow above it ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
is the inital velocity is always zero ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
so let me just write it down with different notation just so you could familiarize yourself if you see it in the textbook this way . so change in velocity . this delta symbol right here just means `` change in . ''
if i am siting in a car that is moving at a velocity of 20m/s to the east , then the car velocity will be 20m/s to the east , but what will be my velocity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
it 's change in velocity over time . so the acceleration -- and once again acceleration is a vector quantity . you want to know not only how much is velocity changing over time , you also care about the direction .
is acceleration an average quantity ?
in this video , i want to talk a little bit about acceleration . and this is probably an idea that you 're somewhat familiar with , or at least you 've heard the term used here or there . acceleration is just the change in velocity over time . probably one of the most typical examples of acceleration , if you 're at al...
and that every second it would be 20 miles per hour faster . so after a second the speedometer would have moved this far . after another second the speedometer would have moved this far . and then after another second the speedometer would have moved that far .
is speedometer and odometer the same ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question .
what is color to you ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
pick -- ( laughing ) - color is a term that we use to describe a collection of attributes , hue and saturation and value , that describes how we see things . hue is what the actual color is in the rainbow spectrum . is it more yellow , or is it more orange ?
how many different hues are there in the color spectrum ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question .
would there be more qualities that you could describe color with ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
like if you smell bacon , ah , bacon . you know , it 's like if you see certain kinds of colors , the same exact feeling . - i do n't know .
i mean like do certain colors make us have feelings ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question .
can color trigger a memory or bring on more emotions at the background colors ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question .
how does color blindness affect the perception of a color ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
( chiming music ) - what do i think color is ? ( laughing ) what is color ?
how do we actually get colour ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
bluer or redder ? value is how bright something is relative to something else . is it white ?
it mentions saturation , is saturation how bright or dull something is ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
ask some smart person here . pick -- ( laughing ) - color is a term that we use to describe a collection of attributes , hue and saturation and value , that describes how we see things . hue is what the actual color is in the rainbow spectrum . is it more yellow , or is it more orange ?
does a hue what the color is ?
( chiming music ) - what do i think color is ? ( laughing ) what is color ? ( gentle cheerful music ) - ( laughing ) i ca n't answer that question . - ( laughing ) what is color ? color is a sensation . ( chiming ) - color is a very personal thing . color is very subjective . it can trigger like a visceral response . l...
it 's really one of the lowest points of the film , and it 's this sunrise . normally sunrises are very beautiful . it 's the start of a new day , but for this one , we wanted an angry sunrise .
from the woods to the oceans is beautiful.what is colors to you ?