Final answer:
The coefficient of restitution for a basketball hitting the ground at a speed of 17 ft/s and a coefficient of restitution of 0.67 is that the basketball will rebound with a speed of 0.67 times the initial speed.
Step-by-step explanation:
The coefficient of restitution is a measure of the elasticity of a collision between a ball and an object. It is defined as the ratio of the speeds after and before the collision. In this case, the basketball hits the ground with a speed of 17 ft/s, and the coefficient of restitution is 0.67. This means that after the collision with the ground, the basketball will rebound with a speed of 0.67 times the initial speed.