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Question

The displacement versus time graph of a moving body is given below.

Which one of the following graphs would represent the velocity versus time graph of the moving body?

A
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B
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C
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D
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Solution

The correct option is A
We know that the slope of the s-t graph gives the velocity and slope of the v-t graph gives us acceleration.


Hence, For 0 to 6 seconds:
Velocity = Slope = 0 ms1
For 6 to 8 seconds:
Velocity = Slope = (2 - 6)/2 = -2 ms1
For 8 to 12 seconds:
Velocity = Slope = 0 ms1
For 8 to 12 seconds:
Velocity = Slope = (10 - 2)/4 = 2 ms1




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