Chapter 5, Problem 25P

The height and speed of a projectile shoot at a speed v₀at an angle $\theta$ as a function of time are given by:

$h(t)=v_{0}t\sin \theta -g{t}^2/2$

$v(t)=\sqrt{v_0^2}-2v_{2}gt\sin \theta +g^2{r}^2$

where g = 9.81 m/s². Determine the time that the projectile will hit the ground and plot the height and the speed as a function of time (two plots on one page) for the case that v₀= 200 m/s and $\theta$= 70°. Add titles and label the axes.