Chapter 2.3, Problem 30P

(a)

To determine

To show: The horizontal component of velocity is $v=u\cos A$ and the vertical component of velocity is $w=-gt+u\sin A$.

(b)

To determine

The horizontal $x\left(t\right)$ and vertical coordinates $y\left(t\right)$, respectively of the ball at time t.

(c)

To determine

To plot: The parametric functions $x\left(t\right)$ and $y\left(t\right)$ with several values of A.

(d)

To determine

A relation between u and A that satisfies the parametric equation if the ball is to clear the wall at a distance L.

(e)

To determine

The range of values of A that correspond to an initial velocity of $u=110\text{ ft/s}$.

(f)

To determine

The minimum initial velocity $u$ and the optimal angle A corresponding to it such that the ball clears the wall.