Ball 1 is moving toward you at \(10 \mathrm{~m} / \mathrm{s}\), and you decide to throw ball 2 at it to make it reverse its velocity. The balls collide head-on, and the coefficient of restitution for the collision is 0. 90 .

(a) If ball 1 has an inertia of \(0.500 \mathrm{~kg}\) and ball 2 has an inertia of \(0.600 \mathrm{~kg}\), how fast must ball 2 be traveling in order to reverse the velocity of ball 1?

(b) What is the initial relative velocity of the two balls?

(c) What is their reduced inertia?

(d) What percentage of the original kinetic energy is convertible?

(e) What are the velocities of the two balls immediately after the collision?