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What types of motions are represented by the following velocity-time graphs?



(a) Since the velocity-time graph is a straight line, the body has uniform velocity.

(b) The body has uniform acceleration and its initial velocity is zero because the lne starts from the origin.

(c) The body has some initial velocity and is under uniform retardation.

(d) The body has some initial velocity and uniform acceleration.

(e) The body has zero initial velocity and it has variable acceleration.

(f) The body is at rest from O to A, it has uniform acceleration from A to B, it has uniform velocity from B to C and from C to D, the body is under uniform retardation. 

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Draw velocity-time graph for a body moving with uniform velocity. Hence show that the area under the velocity-time graph gives the distance travelled by the body in a given time interval.


Draw a velocity-time graph for a body in uniform acceleration. Hence, show that the area under the velocity-time graph gives the distance travelled by the body in the given time interval.


Derive the equations of motion for uniformly accelerated motion from velocity-time graph.


Discuss the graphs A, B and C shown in Fig. 8.21. Compare the total distance travelled and the displacements. Which graph represents a motion in which total displacement is zero?

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