Aspire Faculty ID #16591 · Topic: NIMCET 2008 · Just now
NIMCET 2008

From a height of $16$ meters a ball fell down and each time it bounces half the distance back. What is the total distance traveled?

Solution

Distance = $16 + 2(8 + 4 + 2 + 1 + \cdots)$ The infinite sum inside equals $8/(1-\frac12)=16$. Total distance = $16 + 2\times16 = 48$ m.

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