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Question

From the adjacent figure a displacement-time graph of a body moving in a straight line. Find the distance covered and displacement of the body at the end of 12 seconds.
396115_d01d039e76104b5a918318cf67290891.png

A
40 m, zero
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B
20m, zero
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C
10m, 10 m
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D
20m, 20 m
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Solution

The correct option is C 40 m, zero
Distance covered in first 2 seconds = 10 m,
Body is in rest between 2 to 6 seconds so distance = 0 m,
Distance covered in first 6 to 8 seconds = 10 m,
Distance covered in first 8 to 10 seconds = 10 m,
Distance covered in first 10 to 12 seconds = 10 m,
So final distance = 10+10+10+10= 40 m.

Body is start at 0 seconds and comes to same position at 12th seconds so displacement is zero.
Distance = 40 m, Displacement = 0

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