Home Physics Motion in a Straight Line Mix The position-time (x-t) graphs for two child…
Physics Motion in a Straight Line Mix MCQ (Single Correct)

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.

A
A lives closer to the school than B
B
A starts from the school earlier than B
C
A walks faster than B
D
A and B reach home at the same time

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Text Solution

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The correct answer is:
C

As OP < OQ, A lives closer to the school than B, Hence, option is correct.

For x = 0, t = 0 for A; while t has some finite value for B. Therefore, A starts form the school earlier than B. Hence, option is correct.

Slope of x-t graph is equal to the speed. Since the slope of x – t for B is greater than that for A. Therefore, B walks faster than A. Hence. Options is incorrect.

Corresponding to points P and Q the value of t form x-t graphs for A and B is same. Thus, both A and B reach home at the same time. Hence, option is correct.

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