When a ball bounces, it rises to $$\frac{2}{3}$$ of the height from which it fell. If the ball is dropped from a height of 36 m, how high will it rise at the third bounce ?
a) $$10\frac{1}{3}$$ m
b) $$10\frac{2}{3}$$ m
c) $$12\frac{1}{3}$$ m
d) $$12\frac{2}{3}$$ m
Answer: b
Explanation: Ball is dropped from the height of 36 m when the ball will rise at the third bounce
Required height :
$$\eqalign{
& = \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \times 36 \cr
& = \frac{{32}}{3} \cr
& = 10\frac{2}{3}\,m \cr} $$
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