Question

Figure (a) shows the displacement-time graph for the motion of a body. Use it to calculate the velocity of body at t = 1 s, 2 s and 3 s, then draw the velocity-time graph for it in Figure (b).

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Answer

displacement time velocity slope 1044x680 1

We observe from the given displacement time graph above, that the slope is a straight line inclined with time axis, so the body is moving with uniform velocity. Hence, the velocity will be same at t = 1 s, 2 s and 3 s.

Velocity = Slope of straight line OP

= AB\over OB

= 2 - 0\over 1 - 0

= 2 m s-1

Hence, velocity at t = 1 s, 2 s and 3 s is equal to 2 m s-1

Velocity-time graph for the motion of a body is given below:

velocity-time-graph-1-2-3-seconds

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