Consider the flight of a tennis ball with mass \(57 \mathrm{~g}\) and a diameter of \(66.0 \mathrm{~mm}\). Assume the ball is served 6. 40 meters from the net at a speed of \(50.0 \mathrm{~m} / \mathrm{s}\) down the center line from a height of \(2.8 \mathrm{~m}\). It needs to just clear the net \((0.914 \mathrm{~m})\).

a. Ignoring air resistance and spin, analytically find the path of the ball assuming it just clears the net. Determine the angle to clear the net and the time of flight.

b. Find the angle to clear the net assuming the tennis ball is given a topspin with \(w=50 \mathrm{rad} / \mathrm{s}\).

c. Repeat part \(\mathrm{b}\) assuming the tennis ball is given a bottom spin with \(\omega=50 \mathrm{rad} / \mathrm{s}\).

d. Repeat parts \(\mathrm{a}, \mathrm{b}\), and \(\mathrm{c}\) with a drag force, taking \(C_{D}=0.55\).