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. Two cyclists, A and B, are cycling along the same straight horizontal track. The cyclists are modelled as particles and the motion of

 

. Two cyclists, A and B, are cycling along the same straight horizontal track. The cyclists are modelled as particles and the motion of the cyclists is modelled as follows: At time = 0, cyclist A passes through the point O with speed 2 ms . . Cyclist A is moving in a straight line with constant acceleration 2 ms At time=2 seconds, cyclist B starts from rest at O Cyclist B moves with constant acceleration 6 ms along the same straight line in the same direction as cyclist A At time 7 seconds, B overtakes A at the point X Using the model. (a) sketch, on the same axes, for the interval from 10 to 17 seconds, . a velocity-time graph for the motion of A a velocity-time graph for the motion of B (b) explain why the two graphs must cross before time = T seconds, (c) find the time when A and B are moving at the same speed, (d) find the distance OX

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