Solve.
-A ball is dropped from a height of $4 \mathrm {~m}$. On each upward bounce the ball returns to $\frac { 3 } { 4 }$ of its previous height. Find the total distance the ball travels in an upward direction before coming to rest.
A) $28 \mathrm {~m}$
B) $12 \mathrm {~m}$
C) $15 \mathrm {~m}$
D) $3 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The ball travels upward distances of $3 \mathrm{~m}$, $2.25 \mathrm{~m}$, $1.6875 \mathrm{~m}$, etc., forming a geometric series with first term $3 \mathrm{~m}$ and common ratio $\frac{3}{4}$. The sum of this infinite series is $\frac{3}{1-\frac{3}{4}} = 12 \mathrm{~m}$.

Solve -A Ball Is Dropped from a Height Of 4 4 m4 \mathrm {~m}4 m

Solve
-A Ball Is Dropped from a Height Of 4 $4 \mathrm {~m}$