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4bb70be 86e8347 4bb70be 86e8347 4bb70be 86e8347 4bb70be 86e8347 4bb70be 86e8347 4bb70be 86e8347 4bb70be 86e8347 4bb70be 86e8347 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | The parametric equations for a projectile with constant gravity g:
\[x = v_0 t \cos \theta + x_0\]
\[y = -\frac{1}{2} gt^2 + v_0 t \sin \theta + y_0\]
ex. A shell is fired from ground level with an initial speed of 768 ft/sec. at an angle of 30°. Find:
1. \(\vec{r}(t)\)
2. the maximum altitude attained
3. the range of the shell
4. the speed on impact
5. the horizontal distance when \(y = 2240\) ft. |