Mathematics (AS & A Level) · Oct / Nov 2023 · Paper 41 · Question 7
9709
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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 vms−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. [9]
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