sample_00008/document.md

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.