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Mathematics (AS & A Level) · Oct / Nov 2025 · Paper 41 · Question 6

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A particle A of mass 2.5 kg is released from rest from the top of a smooth plane, which makes an angle of . sin 0 2 1 - with the horizontal. The particle A collides 2 seconds later with a particle B, of mass 3 kg, which is moving up a line of greatest slope of the plane. The speed of B immediately before the collision is . . m 3 5 s 1 - Immediately after the collision, B has a velocity of . m 5 s 0 1 - down the plane. Find the distance A moves up the plane after the collision. [6]

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