The Total solution for NCERT class 6-12
The position-time (x-t) graphs for two children A and B returning fromtheir schoolO to their homes P and Q respectivelyare shown in Fig. 3.19. Choose the correctentries in the brackets below ;(a) (A/B) lives closer to the schoolthan (B/A)(b) (A/B) starts from the schoolearlier 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 tothe school than B, because A has to cover shorter distances [OP < OQ],(b) A starts from school earlier than B, because for x= 0, t = 0 for A but forB, t has some finite time.(c) The slope of B is greater than that of A, therefore B walks faster than A.(d) Both A and B will reach their home at the same time.(e) At the point of intersection, B overtakes A on the roads once.