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Concepts Of Physics MCQ Edition [Volume 1]PhysicsRest and Motion Kinematics

At t = 0 , the velocity of a particle is zero. Which of the following statements are correct?

Options

  1. AThe acceleration may be zero at t = 0 .
  2. BIf the speed is zero from t = 0 to t = 10 s , then the acceleration is also zero during this interval.
  3. CIf the acceleration is zero from t = 0 to t = 10 s , then the speed is also zero during this interval.
  4. DThe acceleration must be zero at t = 0 .

Correct answer

C. If the acceleration is zero from t = 0 to t = 10 s , then the speed is also zero during this interval.

Step-by-step solution

At t = 0 , v = 0 . For the first statement, the acceleration may or may not be zero. For example, a particle at its highest point in vertical motion has v = 0 but a = g 0 . If a particle is permanently at rest, v = 0 and a = 0 . Thus, acceleration may be zero, making the first statement correct. For the second statement, if speed is zero from t = 0 to t = 10 s , the velocity is constant and equal to zero. Therefore, a = dv dt = 0 , making the second statement correct. For the third statement, if acceleration is zer

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