A ball is released from rest at a height of above the ground

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

A ball is released from rest at a height of 3 m3\,\text{m} above the ground. On every bounce, it rises to three–fourths of the height from which it just fell. After how many times of hitting the ground will the cumulative distance travelled by the ball first exceed 20 m20\,\text{m}? (a) 1111 (b) 1313 (c) 1212 (d) 1010

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