Chapter 10.7, Problem 60AYU

To determine

To find:

a. The rectangular equation of the trajectory and identify the curve.

To determine

To find:

b. To show that the projectile hits the ground $\left(y = 0\right)$ when $t=1/16v_o\text{sin}\theta$.

To determine

To find:

c. How far has the projectile traveled (horizontally) when it strikes the ground? In other words, find the range R.

To determine

To find:

d. Find the time $t$ when $x=y$. Then find the horizontal distance $x$ and the vertical distance $y$ traveled by the projectile in this time. Then compute $\surd x² + y²$. This is the distance R, the range, that the projectile travels up a plane inclined at $45°$ to the horizontal $\left(x = y\right)$.