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 shown in Fig. 3.19. Choose the correct entries in the
(a) (A/B) lives closer to the school than (B/A)
(b) (A/B) starts from the school earlier than (B/A)
(c) (A/B) walks faster than (B/A)
(d) A and B reach home at the (same/different) time
(e) (A/B) overtakes (B/A) on the road (once/twice).
(a) A lives closer to school than B.
(b) A starts from school earlier than B.
(c) B walks faster than A.
(d) A and B reach home at the same time.
(e) B overtakes A once on the road.
(a) In the given x-t
graph, it can be observed that distance OP < OQ. Hence, the
distance of school from the
home is less than that from
(b) In the given graph, it can be observed that for
x = 0, t = 0 for A, whereas for x =
0, t has some finite value for B. Thus, A
starts his journey from school earlier than B.
(c) In the given x-t
graph, it can be observed that the slope of B is greater
than that of A. Since the slope of the
x-t graph gives the speed, a
greater slope means that the speed of B is greater than
the speed A.
(d) It is clear from the given graph that both A
and B reach their respective homes at the same time.
(e) B moves later than A and his/her speed
is greater than that of A. From the graph, it is clear
that B overtakes A only once on the road.
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