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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` returning from their school `O` to their homes `P` and `Q`, respectively, are shown in . Choose the correct entries in the brackets
.
a.` (A//B)` Iives closer to 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//differnt) time.
e. (A//B) overtakes 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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