Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 42 · Question 1
9709
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v (m s–1) V T 0 –3 4 10 t (s) The velocity of a particle moving in a straight line at time t seconds after leaving a fixed point O is v m s 1 - . The diagram shows a velocity-time graph which models the motion of the particle from t 0 = to t T = . The graph consists of four straight line segments. The particle accelerates from rest to a speed of V m s 1 - over a period of 4 s, and then decelerates at 3 5 m s 2 - to instantaneous rest over a period of 6 s. The particle then travels back towards O, reaching a maximum speed of 3 m s 1 - before coming to rest at time t T = .
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