Just before hitting the ground, a partially inflated \(0.625-\mathrm{kg}\) basketball has a speed of \(3.30 \mathrm{~m} / \mathrm{s}\). Then it loses half of its kinetic energy as it bounces.

(a) What is the ball's speed immediately after it bounces?

(b) If the ball is in contact with the ground for \(9.25 \mathrm{~ms}\), what is the magnitude of the average force exerted by the ground on the ball?