1. A child, playing at the balcony of his multi-storied apartment, drops a ball from a height of 350 m. Each time the ball rebounds, it rises 4/5th of the height it has fallen through. The total distance travelled by the ball before it comes to rest is
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By: anil on 05 May 2019 02.39 am
Total distance covered by the ball will be = $$350+2(frac{4}{5}*350+(frac{4}{5})^{2}*350+(frac{4}{5})^{3}*350+...)$$ = $$350+2*350(frac{4}{5}+(frac{4}{5})^{2}+(frac{4}{5})^{3}+...)$$ = $$350+2*350(frac{frac{4}{5}}{1-frac{4}{5}})$$ = $$350+2*350*4$$ =$$3150$$
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