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The velocity of a particle moving in a straight line varies with time in such a manner that v versus t graph is represented by one-half of an ellipse. The maximum velocity is v_m and the total time of motion is t_0 (i) average velocity of the particle is (pi)/(4) v_m (ii) such motion cannot be realized in practical terms.

A particle moving in a straight line covers half the distance with speed of 3 m//s . The other half of the distance is covered in two equal time intervals with speed of 4.5 m//s and 7.5 m//s respectively. The average speed of the particle during this motion is :

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Displacement - time graph of particle moving in a straight line is as shown in figure. State whether the motion is accelerated or not. Describe the motion in detail. Given, s_(0)=20 m and t_(0) = 4 s .

A partical starts from rest and moves in a straight line. It travels a distance L with uniform acceleration and then moves with constant velocity a further distance 2L . Finally, it comes to rest after moving a further distance 4L under uniform retardation. Find the ratio of average speed to the maximum speed.

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