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Question

The velocity-time graph of a body moving in a straight line is shown. The displacement of the body in 10s is ?
1131764_5274c3c0b51848fabf5a623918e6dacc.png


A
4m
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B
6m
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C
8m
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D
10m
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Solution

The correct option is B $$8 m$$
The displacement of the body in $$10sec$$ is area under the velocity-time graph
For $$t=0sec\,    to\,    8sec$$
$$s_1=\dfrac{1}{2}\times 4\times 2+\dfrac{1}{2}\times 2\times 2+\dfrac{1}{2}\times 2\times 2$$
$$S=4+2+2=8m$$
For $$t=8sec$$ to $$t=10sec$$
$$s_2=0$$
Total displacement is $$8m$$.
The correct option is C.

Physics

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