We might think that a ball that is dropped from a height of 14
feet and rebounds to a height 3/4 of its previous height at each
bounce keeps bouncing
forever since it takes infinitely many bounces. This is not true!
We examine this idea in this problem.

**A.**
Show that a ball dropped from a height

time at first bounce =

time at second bounce =

time at third bounce =

time at fourth bounce =

**B.**
How long, in seconds, has the ball been bouncing when it hits the
floor for the

time at

**C.**
What is the total time that the ball bounces for?

total time =

You can earn partial credit on this problem.