A ball is dropped from a height of 20 m. After each bounce it rises to one-fourth of the previous height. Find the total vertical distance travelled before it effectively comes to rest.
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A ball is dropped from a height of 20 m. After each bounce it rises to one-fourth of the previous height. Find the total vertical distance travelled before it effectively comes to rest.

G1 Physics · Accepted Answer

Initial fall=20 m. Rebound heights: 5+5/4+... with sum 5/(1−1/4)=20/3. Upward and downward rebound distances contribute twice this sum. Total=20+40/3=100/3 m.