A ball is dropped from a height of

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

2\,\text{m}

. After each bounce it rises to

60\%

of the height from which it fell. Ignoring the radius of the ball, calculate the total vertical distance it travels before coming to rest. (a)

6.5\,\text{m}

(b)

8\,\text{m}

(c)

5\,\text{m}

(d)

10\,\text{m}