Draw and explain the velocity -time graph for the motion of a body starting from rest with a constant acceleration.

A body is moving with constant acceleration :

Draw velocity-time graph for an object starting from rest. Acceleration is constant and remains positive.

Draw the velocity -time graph of a body moving (i) with uniform acceleration , (ii) with increasing acceleration and (iii) with decreasing acceleration.

Position-time graph for motion with zero acceleration is

Two particles move in the same straight line starting at the same moment from the same point in the same deirectin. The first moves with constant velocity u and the second starts from rest with constant acceletation f. Then

This displacement of a particle during its motion is equal to half of the product of its instantaneous velocity and time. Show that the particle moves with a constant acceleration.

A policeman starts chasing a thief with a uniform velocity V along a straight path in a jeep. When the jeep is at a distance d from the thief rides on a motorcycle and moves with a constant acceleration a starting from rest. Show that the policeman can catch the thief if V gt sqrt(2ad).

State the nature of the graphs representing motions of a body with uniform velocity, with uniform acceleration and with uniform retardation respectively in a dispalcement - time graph.