A ball is dropped from a height of 14 feet and bounces. Suppose
that each bounce is 3/4 of the height of the bounce before. Thus,
after the ball hits the floor for the first time, it rises to a height
of 14 ({3\over 4}) = 10.5 feet, etc. (Assume
g = 32 \hbox{ft/s}^2 and no air resistance.)

**A.**
Find an expression for the height, in feet, to which the ball rises
after it hits the floor for the

**B.**
Find an expression for the total vertical distance the ball has
traveled, in feet, when it hits the floor for the first, second, third
and fourth times:

first time: D =

second time: D =

third time: D =

fourth time: D =

**C.**
Find an expression, in closed form, for the total vertical distance
the ball has traveled when it hits the floor for the

You can earn partial credit on this problem.