Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_288

3/288 The tennis player practices by hitting the ball against the wall at A. The ball bounces off the court surface at B and then up to its maximum height at C. For the conditions shown in the figure, plot the location of point C for values of the coefficient of restitution in the range \(0.5 \le e \le 0.9\). (The value of \(e\) is common to both A and B.) For what value of \(e\) is \(x = 0\) at point C, and what is the corresponding value of \(y\)? Given values from figure: Initial height: \(3 \text{ ft}\) Distance to wall: \(30 \text{ ft}\) Initial velocity \(v_0 = 80 \text{ ft/sec}\) at \(\theta = 5^\circ\) above horizontal. Acceleration due to gravity: \(g = 32.2 \text{ ft/sec}^2\)