A ball is thrown vertically upwards from the ground. The ball rises to a height of 8m

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A ball is thrown vertically upwards from the ground. The ball rises to a height of 8m and then falls and bounces. After each bounce it rises to 3/4 of the height of the previous bounce.

a. Write down an expression for the height that the ball rises after the nth impact with the ground.

b. Find the total distance that the ball travels from the first throw to the fifth impact with the ground.

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