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Question

The Displacement-time graph of a particle moving in a straight line is as shown in the figure. State whether the motion is accelerated or not. Given s0=−20 mandt0=4 second
251494_8cbd2d0acfec47dbbd0a36cc761fb745.png

A
Yes
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B
No
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C
Insufficient information
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D
None of the above
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Solution

The correct option is B No

Slope of displacement- time graph gives us the velocity of the particle.

In the given case, slope of displacement-time graph is constant. Hence, velocity of particle is constant.

We know that acceleration is defined as ratio of change in velocity to the time interval.

a=change in velocitytimeinterval

Since, here there is no change in the velocity, hence, acceleration is 0.

Hence, the motion is not accelerated.


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