| The parametric equations for a projectile with constant gravity g: | |
| \[x = \nu_{0}t\cos \theta +x_{0}\] | |
| \[y = -\frac{1}{2} gt^{2} + \nu_{0}t\sin \theta +y_{0}\] | |
| 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. |