The displacement of a particle moving in a straight line is s metres at time t seconds after leaving a fixed point O. The particle starts from rest and passes through points P, Q and R, at times t = 5, t = 10 and t = 15 respectively, and returns to O at time t = 20. The distances OP, OQ and OR are 50m, 150 m and 200 m respectively. The diagram shows a displacement-time graph which models the motion of the particle from t = 0 to t = 20. The graph consists of two curved segments AB and CD and two straight line segments BC and DE. [Figure 3.1]

1. (a)Find the speed of the particle between t = 5 and t = 10.[1]
2. (b)Find the acceleration of the particle between t = 0 and t = 5, given that it is constant.[2]
3. (c)Find the average speed of the particle during its motion.[2]

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