Question
The position-time (x-t) graph for two children A and B returning from their school O to their homes P and Q respectively is as shown in the figure.
(a) Who lives closer to the school?
(b) Who starts from the school earlier?
(c) Who walks faster?
(d) Who overtakes the other?
Solution
(a) Since, OP < OQ, A lives closer to the school than B.
(b) From the position-time graph, A starts at t = 0 and B at t = T. That is, A starts earlier than B.
(c) Velocity is given by the slope of x-t graph. Here, the slope of x-t graph for B is greater than A. Therefore B walks faster than A.
(d) B overtakes A.
