UPSKILL MATH PLUS

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A ball is dropped from a height of \(60\) metres. After hitting the ground, it bounces back to \(65\%\) of the height from which it fell. It continues bouncing in this way each time rising to \(65\%\) of the previous height.
 
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(i) The height does the ball reach after the \(5^{\text{th}}\) bounce is
 
 
 
 
(ii) The total vertical distance the ball has travelled by the time it hits the ground for the \(6^{\text{th}}\) time is