Three identical carts A, B

PHYSICS · Subjective · CBSE · Physics · Motion · Motion

Problem

Three identical carts A, B, and C move along a straight track. For each cart, the graph of velocity vv versus time tt is a straight-line segment of equal duration, described below. • Cart A: vv increases uniformly from 0 m/s0\,\text{m/s} to +6 m/s+6\,\text{m/s}. • Cart B: vv increases uniformly from +3 m/s+3\,\text{m/s} to +9 m/s+9\,\text{m/s}. • Cart C: vv decreases uniformly from +8 m/s+8\,\text{m/s} to +2 m/s+2\,\text{m/s}. Rank the magnitudes of the accelerations of the three carts from greatest to least and briefly state the reasoning for your ranking.

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