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Question

Study the following vt graphs in Column I carefully and match appropriately with the statements given in Column II. Assume that motion takes place from time 0 to T.

A
i(q),(s);ii(p),(s);iii(r);iv(p)
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B
i(q),(s);ii(p);iii(r),(s);iv(p),(s)
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C
i(p),(s);ii(q),(s);iii(r);iv(p),(q)
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D
i(p),(s);ii(q);iii(r),(s);iv(q)
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Solution

The correct option is A i(q),(s);ii(p),(s);iii(r);iv(p)
i. Area of vt graph lies below time axis, so displacement is negative. But slope is positive, so acceleration is positive.
ii. Area of vt graph lies above time axis, so displacement is positive. And slope is positive, so acceleration is also positive.
iii. Displacement is zero, because half area is above time axis and half below. Slope is negative, so acceleration is negative.
iv. Area of vt graph lies above time axis, so displacement is positive. And slope is negative, so acceleration is negative.

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