v-t graph for rectilinear motion is given as shown in figure.Match the column on the Basis of the v-t graph.
| Column - I | Column - II |
| (A) The magnitude average velocity from t = 0 to t = t2 | (P) Same for A, B, C |
| (B) Magnitude of acceleration at t = t1 | (Q) Maximum for A |
| (C) Magnitude of acceleration at t = t2 | (R) Same for A,B |
| (D) Speed at t2 | (S) Maximum for B |
| (T) Maximum for C |
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This v-t graph shows velocity vs time for three objects (A, B, C) in rectilinear motion. The slope gives acceleration, and area under the curve gives displacement.
(A) Average velocity magnitude from 0 to t2 is |displacement|/t2. Since all have same area (displacement) above and below time axis, magnitude is same for all. Answer: (P)
(B) Acceleration magnitude at t1 is |slope|. Slope is maximum for B (steepest). Answer: (S)
(C) Acceleration magnitude at t2 is |slope|. Slopes for A and B are equal (parallel lines). Answer: (R)
(D) Speed at t2 is |v|. All are at v=0 at t2, so speed is same (zero). Answer: (P)
Final matching: A→P, B→S, C→R, D→P