role stringclasses 2
values | content stringlengths 0 2.1k | session_id int64 10 21.7k | sequence_id int64 0 2.38k | annotations listlengths 0 8 |
|---|---|---|---|---|
volunteer | over the adjacent | 8,595 | 161 | [] |
student | Mhm | 8,595 | 162 | [] |
volunteer | and the adjacent is gonna 5000. We'll keep it in feet. | 8,595 | 163 | [] |
volunteer | And the opposite is always gonna 1000 + 600T. | 8,595 | 164 | [] |
volunteer | Oops, no, I have to reset. | 8,595 | 165 | [] |
volunteer | Excuse me here, let me see if I can do it again. | 8,595 | 166 | [] |
volunteer | No | 8,595 | 167 | [] |
volunteer | I'm sorry | 8,595 | 168 | [] |
volunteer | One more time with feeling | 8,595 | 169 | [] |
student | So | 8,595 | 170 | [] |
volunteer | Let me lengthen this | 8,595 | 171 | [] |
volunteer | 1000 | 8,595 | 172 | [] |
volunteer | I can't write very well, 5000. | 8,595 | 173 | [] |
volunteer | OK | 8,595 | 174 | [] |
student | OK | 8,595 | 175 | [] |
volunteer | So if we think about it | 8,595 | 176 | [] |
volunteer | iste as the number of seconds that go by. We started at 0. | 8,595 | 177 | [] |
volunteer | then the tangent of the angle is going to be 15%, right? | 8,595 | 178 | [] |
volunteer | 1000 /. | 8,595 | 179 | [] |
volunteer | 5000 | 8,595 | 180 | [] |
student | Yeah | 8,595 | 181 | [] |
volunteer | As, as each second picks by. | 8,595 | 182 | [] |
volunteer | the the tangent of the angle is gonna get bigger and bigger. | 8,595 | 183 | [] |
student | Mm | 8,595 | 184 | [] |
volunteer | um after 1 2nd, it'll be 1600 over | 8,595 | 185 | [] |
volunteer | 5000. 2 seconds, it'll be | 8,595 | 186 | [] |
volunteer | 2200 | 8,595 | 187 | [] |
volunteer | /5000 and on up, right? | 8,595 | 188 | [] |
student | Mm | 8,595 | 189 | [] |
volunteer | Does that make sense to you | 8,595 | 190 | [] |
student | You mean? | 8,595 | 191 | [] |
volunteer | I'm sorry | 8,595 | 192 | [] |
student | You mean? What, what did you mean? | 8,595 | 193 | [] |
volunteer | OK | 8,595 | 194 | [] |
volunteer | So let's, let's just look at this expression. | 8,595 | 195 | [] |
volunteer | tangent of the angle = . I, I'm sorry about my writing. It's 1000 + 600T / 5000. | 8,595 | 196 | [] |
volunteer | So at time equals 0 | 8,595 | 197 | [] |
student | Mm. | 8,595 | 198 | [] |
volunteer | if T is equal to 0, 600 times 0 is 0, and we would end up 1000 /, 5000, excuse me. | 8,595 | 199 | [] |
student | Mhm | 8,595 | 200 | [] |
volunteer | If it at time T equals 1 2nd, we would be 1600 / | 8,595 | 201 | [] |
volunteer | 5000, right? | 8,595 | 202 | [] |
student | Yeah | 8,595 | 203 | [] |
volunteer | At time T equals 2 seconds, we would be at | 8,595 | 204 | [] |
volunteer | 2200 / 5000, and so forth. | 8,595 | 205 | [] |
student | Yup | 8,595 | 206 | [] |
volunteer | So we have a, we now have an expression, if we've done this correctly | 8,595 | 207 | [] |
volunteer | of the tangent of the angle | 8,595 | 208 | [] |
volunteer | in terms of tea | 8,595 | 209 | [] |
volunteer | And that's pretty good because now we can use our | 8,595 | 210 | [] |
volunteer | knowledge of derivatives | 8,595 | 211 | [] |
volunteer | to find the theta DT. | 8,595 | 212 | [] |
student | All right, real quick, can we, can I ask, wait, why, why is it plus and not like times? | 8,595 | 213 | [] |
volunteer | It is time | 8,595 | 214 | [] |
volunteer | but we're starting out in | 8,595 | 215 | [] |
student | Don't 1000 + 600. | 8,595 | 216 | [] |
volunteer | Yeah, I'm sorry about my writing. I really apologize. | 8,595 | 217 | [] |
volunteer | It's a 1000 + 600T. | 8,595 | 218 | [] |
volunteer | Can you see that or | 8,595 | 219 | [] |
student | No, I can see that I'm just saying like why is it that way? | 8,595 | 220 | [] |
volunteer | OK | 8,595 | 221 | [] |
volunteer | So think about that angle | 8,595 | 222 | [] |
student | Mhm. | 8,595 | 223 | [] |
volunteer | If we're just starting out | 8,595 | 224 | [] |
volunteer | do you agree that the angle, the tangent of the angle is 1000 / 5000. | 8,595 | 225 | [] |
student | Yes, I agree | 8,595 | 226 | [] |
volunteer | OK. | 8,595 | 227 | [] |
volunteer | If you, if you plug in T equals 0 into the formula, we would get 600 times 0, right? | 8,595 | 228 | [] |
student | Yeah | 8,595 | 229 | [] |
volunteer | And we would end up 1000 / 5000 when we're starting. | 8,595 | 230 | [] |
volunteer | After 1 2nd | 8,595 | 231 | [] |
volunteer | if we just choose an arbitrary value 1 2nd. | 8,595 | 232 | [] |
volunteer | what would the numerator be? | 8,595 | 233 | [] |
volunteer | if I plug in 1 2nd | 8,595 | 234 | [] |
student | led to 1600 | 8,595 | 235 | [] |
volunteer | adding to 1000, yes, 1000 + 600 times 1 2nd, right? | 8,595 | 236 | [] |
student | Yeah | 8,595 | 237 | [] |
volunteer | So we would end up 1600, correct? | 8,595 | 238 | [] |
student | Yeah, I'll get that part. I'm just saying like the 1000 + 600. Like why is 1000 + 600 and now 1000 times 600. | 8,595 | 239 | [] |
volunteer | OK. | 8,595 | 240 | [] |
volunteer | So that | 8,595 | 241 | [] |
volunteer | we're, we're gonna | 8,595 | 242 | [] |
student | or minus 600 | 8,595 | 243 | [] |
volunteer | we're, we're, the rocket is going up. | 8,595 | 244 | [] |
student | Mhm | 8,595 | 245 | [] |
volunteer | We have to multiply by the 6 6001 times the tea, if that helps clear that up. So, | 8,595 | 246 | [] |
student | Yeah, that part is clear | 8,595 | 247 | [] |
volunteer | OK. | 8,595 | 248 | [] |
volunteer | So | 8,595 | 249 | [] |
volunteer | if you think about where the rocket is vertically. | 8,595 | 250 | [] |
volunteer | We can't multiply 600T. It's starting out 1000 ft. | 8,595 | 251 | [] |
student | Mm | 8,595 | 252 | [] |
volunteer | So we always just start out 1000 ft. | 8,595 | 253 | [] |
student | Mhm | 8,595 | 254 | [] |
volunteer | and after what, after 1 2nd for for example, we will be 1600 ft. Do you agree with that? | 8,595 | 255 | [] |
student | Right | 8,595 | 256 | [] |
volunteer | and the way I got that was after 1 2nd | 8,595 | 257 | [] |
volunteer | the velocity 600 ft per second. | 8,595 | 258 | [] |
volunteer | times the time | 8,595 | 259 | [] |
volunteer | is 1 2nd | 8,595 | 260 | [] |
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