Verified Solution • 2025–26 Session
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Q2.2: NCERT Physics - Part 1 MOTION IN A STRAIGHT LINE 2.2 Solution: The position-time (x-t) graphs for two children A and B…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often treat the x‑intercept of a position‑time graph as the distance from the school, but the true distance home is the final x‑value where the graph ends, not where it meets the x‑axis. Examine the endpoint of each curve to decide which child lives closer.
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 Fig. 2.9. 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).
Step-by-Step Verified Solution
**Answer:** (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 on the road once.
**Step-by-Step Explanation:**
(a) A's home P is closer to the school O than B's home Q, as seen from the smaller x-intercept for A.
(b) The graph for A starts from the origin (school) at an earlier time than B.
(c) The slope of the x-t graph for B is greater than that for A, so B walks faster. [citation:1]
(d) Both graphs end at the same time coordinate, so they reach home at the same time.
(e) B, starting later and walking faster, overtakes A once on the road. [citation:1]
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