The position-time (x-t) graphs for two children A and B returning from their school O to their homes P and Q respectively along straight line path (taken as x-axis) are shown in figure. Choose the correct statement (s):

Options

A. A lives closer to the school B
B. A starts from the school earlier than B
C. A and B have equal average velocities from 0 to `t_0`.
D. B overtakes A on the way

Answer

A, B, D

Explanation

`OPltOQ`, so A lives closer. A starts at `t=0`, whereas B starts at `t=t`, So A starts earlier than B. Their average velocity is not equal because their displacement OP and OR are not same. B overtakes A, where both the graphs intersect.