Question

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

Answer 1

Answer: (C)

A walks faster than B

Answer 2

(1) As OP < OQ, A lives closer to the school than B, Hence, option (1) is correct.

(2) 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 (2) is correct.

(3) 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 (3) is incorrect.

(4) 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 (4) is correct.