Solve
-A Ball Is Dropped from a Height Of 4.0 $4.0 \mathrm {~m}$

Solve.
-A ball is dropped from a height of $4.0 \mathrm {~m}$ . On each upward bounce the ball returns to $\frac { 3 } { 4 }$ of its previous height. Find the total vertical distance the ball travels before coming to rest.

A) $31.1 \mathrm {~m}$
B) $28.0 \mathrm {~m}$
C) $16.0 \mathrm {~m}$
D) $29.0 \mathrm {~m}$