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Q.

The position- time (x -t) graphs for two children A and B returning from their school O to their homes P and Q respectively are as shown in the figure. Choose the incorrect statement regarding these graphs.

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a

A and B reach home at the same time.

b

A walks faster than B.

c

A starts from the school earlier than B.

d

A lives closer to the school than B.

answer is C.

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Detailed Solution

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As OP < OQ, A lives closer to the school than B.

For x = 0, t = 0 for A; while t has some finite value for B. Therefore, A starts from the school earlier than B.

Since the velocity is equal to slope of x-t graph in case of uniform motion and slope of x-t graph for B is greater that that for A =, hence B walks faster than A.

It is clear from the given graph that both A and B reach their respective homes at the same time.

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