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Question

Figure shows the position of a particle moving on the x-axis as a function time
283435_806612940e364b5e8a7562b2bc7b39de.PNG

A
the particle has come to rest 6 times
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B
the maximum speed is at t=6 s
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C
the velocity remains positive for t=0 to t=6 s
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D
the average velocity for the total period show in negative
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Solution

The correct option is A the particle has come to rest 6 times
Slope of the displacement-time graph gives the instantaneous velocity of the particle.
Thus the particle has zero velocity at the instant where the slope of the graph is zero i.e at points A, B, C, D, E & F
Hence option A is correct.

517721_283435_ans_20081b2f80fe420c90cd9304748f6097.png

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