| 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. |