A ball is dropped from a height of onto a horizontal surface

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

A ball is dropped from a height of 10 m10\,\text{m} onto a horizontal surface. Each time it rebounds, it rises to 80%80\% of the height from which it fell. (i) Find the height to which the ball rises after the 4th rebound. (ii) Calculate the total vertical distance travelled by the ball from the instant it is released until it hits the ground for the 5th time.

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