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NEETPhysicsMotion in One Dimension

A particle starts from rest. Its acceleration a versus time t is as shown in the figure. The maximum speed of the particle will be

Options

  1. A150   m   s - 1
  2. B75   m   s - 1
  3. C37 . 5   m   s - 1
  4. D45   m   s - 1

Correct answer

B. 75   m   s - 1

Step-by-step solution

In the above graph, we can see that the acceleration of the particle is positive for the whole duration. Therefore, velocity will keep on increasing. The velocity will be maximum at t = 15   s . Area under acceleration time graph gives velocity. Therefore, v 15 = 1 2 × 10 × 15 = 75   m   s - 1 .

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