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Question

The given figure shows the v−t graph of a particle moving in a straight line. At time t it returns to the starting point. Find t. (Assume SI units for the graph)

A
45 s
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B
25 s
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C
10 s
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D
40 s
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Solution

The correct option is A 45 s
As we know that, when the particle comes to initial position, total displacement is zero.
Also, the area of v-t graph gives displacement, in this case, net area of vt graph should be zero.

S=12×25×2012(t25)×25
or, 0=250252(t25)
500=25(t25)
t25=20 t=45 s

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