(a) It is clear from the graph that
OQ>OP, soA lives closer to the school than B.
(b) The position-time
(x−t) graph of A starts fromthe origin, so
x=0,t=0 for A while the
(x−t) graphof B starts from C which shows that B starts laterthan A after a time interval
OC. So
A starts fromschool
(O) earlier than B.
(c) The speed is represented by the slope or steepness of the
(x−t) graph.More steeper the graph, more will be the speed, so faster will be the childhaving steeper graph. As the
(x−t) graph of B is steeper than the
(x−t) graphof A, so we conclude that B walks faster than A.
(d) Corresponding to P and Q, the value of t from $
(x−t)graphsforAandBissamei.e.OE.SobothAandBreachhomeatthesametime.<br>(e)Asthe(x-t) $ graphs for A and B intersect each other at one point i.e.D and B starts from the school later, so B overtakes A on the road onlyonce.