A round ball bounces to 2m after being dropped from an undetermined height. To what height will it bounce if dropped from a height 2.5 times as high? (how do u even calculate this problem?). (or is it just a problem that cant be solved?)

Answer 1

If the coefficient of restitution is independent of the velocity at impact, the ball will rise to 2.5 times the height of the ball that bounced to 2 meters, or 5 m. This is usually a good assumption.

The coefficient of restitution of a bouncing ball is the fraction of the kinetic energy that is recovered after a bounce. It equals the fraction of potential energy (height) recovered after each bounce.

Answer 2

you can`t because the height of the ball is higher than the ball bounces

thanks!