Help me find the distance traveled using COR

[corpuzdawn]

Homework Statement

A ceramic ball of mass m falls form rest a distance h[0] above a horizontal ceramic surface. The subsequent motion of the ball is purely vertical, bouncing ONLY on one spot on the surface. If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.

Homework Equations

COR= speed of separation/speed of approach

The Attempt at a Solution

If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.

 

[gneill]

Homework Statement

A ceramic ball of mass m falls form rest a distance h[0] above a horizontal ceramic surface. The subsequent motion of the ball is purely vertical, bouncing ONLY on one spot on the surface. If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.

Homework Equations

COR= speed of separation/speed of approach

The Attempt at a Solution

If the coefficient of restitution between the ball and surface halves after every bounce, find the distance traveled by the ball when the ball hits the surface for the third time.

Your attempt is just a restatement of the problem, so not really an attempt

What are your thoughts on how you might approach this problem? For example, how does the height of a bounce depend upon the velocity?