Meriam, Kraige & Bolton — Kinematics of Particles: Problem 2_168

2/168 A batter hits the baseball A with an initial velocity of \(v_0 = 100 \text{ ft/sec}\) directly toward fielder B at an angle of \(30^\circ\) to the horizontal; the initial position of the ball is \(3 \text{ ft}\) above ground level. Fielder B requires \(1/4 \text{ sec}\) to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the “catch position” simultaneously with the baseball. The catch position is the field location at which the ball altitude is \(7 \text{ ft}\). Determine the velocity of the ball relative to the fielder at the instant the catch is made.