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74e78ad | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | <|ref|>text<|/ref|><|det|>[[89, 80, 860, 108]]<|/det|>
The parametric equations for a projectile with constant gravity g:
<|ref|>equation<|/ref|><|det|>[[151, 110, 422, 145]]<|/det|>
\[x = \nu_{0}t\cos \theta +x_{0}\]
<|ref|>equation<|/ref|><|det|>[[151, 156, 566, 227]]<|/det|>
\[y = -\frac{1}{2} gt^{2} + \nu_{0}t\sin \theta +y_{0}\]
<|ref|>text<|/ref|><|det|>[[88, 254, 866, 308]]<|/det|>
ex. A shell is fired from ground level with an initial speed of 768 ft/sec. at an angle of 30°. Find:
<|ref|>text<|/ref|><|det|>[[90, 310, 178, 353]]<|/det|>
1. \(\vec{r} (t)\)
<|ref|>text<|/ref|><|det|>[[90, 357, 484, 382]]<|/det|>
2. the maximum altitude attained
<|ref|>text<|/ref|><|det|>[[91, 383, 372, 408]]<|/det|>
3. the range of the shell
<|ref|>text<|/ref|><|det|>[[91, 410, 361, 434]]<|/det|>
4. the speed on impact
<|ref|>text<|/ref|><|det|>[[91, 436, 606, 461]]<|/det|>
5. the horizontal distance when \(y = 2240\) ft. |