JEE Main · 2021 · 16 Mar 2021 · Shift 1 · Kinematics

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The velocity- displacement graph describing the motion of a bicycle is shown in the figure. The acceleration-displacement graph of the bicycle's motion is best described by:
  1. (A)(see structure)
  2. (B)(see structure)
  3. (C)(see structure)
  4. (D)(see structure)
    ✓ Correct

Answer: (D)

Solution

The velocity-displacement graph rises from at the origin to at m and then stays flat, so

Acceleration along a straight path follows from . On the sloping stretch , so

which is a straight line of positive slope starting at . Beyond m the speed no longer changes, , and the acceleration falls to zero.
The acceleration-displacement graph is a straight line rising from over the first 200 m, dropping abruptly to zero there and staying at zero out to 400 m.

JEE Main · 2021 · 16 Mar 2021 · Shift 1 · Single correct option

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