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The position-time(x-t) graphs for two c...

The position-time(x-t) graphs for two children A and B from their school O to their homes P and Q respectively are shown in fig. Choose correct entries in the brackets below:
(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).

Text Solution

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(a) A lives closer to the school than B (as P is close to O than Q)
(b) A starts earlier than B (A starts when time t =0)
(c ) B walks faster than A (slope of B is greater than slope of A)
(d) A and B reach home at the same time `t_1`( as shown by dotted lines in the graph)
(e) B overtakes A on the road once (as graphs for A and B intersect only at one point R.)
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