Displacement-time graph
 

Displacement-time graph problem 3




The displacement of a particle moving in a straight line is metres at time seconds after leaving a fixed point O. The particle starts from rest and passes through points P, Q and R, at times , and respectively, and returns to O at time . The distances OP, OQ and OR are , and respectively. The diagram shows a displacement-time graph which models the motion of the particle from to . The graph consists of two curved segments AB and CD and two straight line segments BC and DE. Find the average speed of the particle during its motion.


 

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