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Question

The figure shows a velocity-time graph of a particle moving along a straight line. The total distance travelled by the particle is
120527_afdbce71cb774ff8806a9e0be6681fc0.png

A
68 m
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B
52 m
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C
zero
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D
37 m
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Solution

The correct option is C 68 m
We know that the area under the velocity time graph gives us the displacement.
To calculate the distance we simply add the area which is below the x-axis instead of subtracting it.
From the figure we get the areas as
(12×2×10)+(3×10)+(12×13×10)+(12×23×20)+(12×2×20)68
229532_120527_ans.png

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