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Question

A ball is thrown from point A, it reaches to a height of x metres and after it bounces on to the land and raises to half the height. Given that it bounces half the height of the previous height. Find the product of first 9 heights.  [4 MARKS]


Solution

Concept : 1 Mark
Application : 1 Mark
Calculation : 2 Marks

Let the height reached before first bounce =x m

Height reached after first bounce =x2

Height reached after second bounce =x4=x22

Height reached after third bounce =x8=x23

Height reached after fourth bounce =x16=x24

Height reached after fifth bounce =x32=x25

Height reached after sixth bounce =x64=x26

Height reached after seventh bounce =x128=x27

Height reached after eight bounce =x256=x28

Product of first 9 heights =x9236

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