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Mathematics (AS & A Level) · May / June 2021 · Paper 42 · Question 6

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A particle A is projected vertically upwards from level ground with an initial speed of 30 m s−1. At the same instant a particle B is released from rest 15 m vertically above A. The mass of one of the particles is twice the mass of the other particle. During the subsequent motion A and B collide and coalesce to form particle C. Find the difference between the two possible times at which C hits the ground. [8] 9

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