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Mathematics (AS & A Level) · May / June 2018 · Paper 43 · Question 2

9709

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A small ball is projected vertically downwards with speed 5 m s−1 from a point A at a height of 7.2 m above horizontal ground. The ball hits the ground with speed V m s−1 and rebounds vertically upwards with speed 1 2V m s−1. The highest point the ball reaches after rebounding is B. Find V and hence find the total time taken for the ball to reach the ground from A and rebound to B. [5]

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