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.

Distance covered as area under the velocity-time graph. In Fig., line PQ is the velocity-time graph of a body moving with a uniform velocity, OP = v.

Area of rectangle ABCD

= AD × AB = OP × AB

= v × (t₂ – t₁)

= Velocity x time

= Distance travelled in time interval (t₂ – t₁)

Hence, the area under the velocity-time graph gives the distance travelled by the body in the given time interval.

Distance covered as area under the velocity-time graph. In Fig., line

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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?

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.

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

Motion

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.