A-LevelMathematicsMechanicsOct/Nov 2023Paper 4 Q79 Marks
A particle moves in a straight line starting from a point O before coming to instantaneous rest at a point X. At time t s after leaving O, the velocity v ms¯¹ of the particle is given by v = 7.2t² 0 ≤ t ≤ 2, v = 30.6 – 0.9t 2 ≤ t ≤ 8, v = 1600/t² + kt 8 ≤ t, where k is a constant. It is given that there is no instantaneous change in velocity at t = 8. Find the distance OX.
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