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# Solution - 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 Figure. Choose the Correct Entries in the Brackets Below - CBSE (Science) Class 11 - Physics

ConceptPosition, Path Length and Displacement

#### Question

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 Figure Choose the 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).

#### Solution 1

(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.

Explanation:

(a) In the given xt graph, it can be observed that distance OP < OQ. Hence, the distance of school from the A’s home is less than that from B’s home.

(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 xt graph, it can be observed that the slope of B is greater than that of A. Since the slope of the xt 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 Bovertakes A only once on the road.

#### Solution 2

(a) A lives closer to school than B, because B has to cover higher distances [OP < OQ],

(b) A starts earlier for school than B, because t = 0 for A but for B, t has some finite time.

(c) As slope of B is greater than that of A, thus B walks faster than A.

(d) A and B reach home at the same time.

(e) At the point of intersection (i.e., X), B overtakes A on the roads once

Is there an error in this question or solution?

#### APPEARS IN

NCERT Physics Textbook for Class 11 Part 1 (with solutions)
Chapter 3: Motion in a Straight Line
Q: 2 | Page no. 55

#### Reference Material

Solution for question: 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 Figure. Choose the Correct Entries in the Brackets Below concept: Position, Path Length and Displacement. For the courses CBSE (Science), CBSE (Arts), CBSE (Commerce)
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