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Question

State which of the following situations are possible and give an example for each of them.

An object with a constant acceleration but with zero velocity.


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Solution

We know that:

  1. Velocity is the rate of change of displacement of an object with respect to the frame of reference.
  2. Acceleration is the change in velocity with respect to time and frame of reference.
  3. Both changes in magnitude or direction of velocity lead to acceleration.
  4. Velocity and acceleration are vector quantities.

Acceleration when velocity is zero:

  1. When a ball is thrown up, the velocity at the highest point is zero.
  2. But there is a constant acceleration due to gravity affecting the ball all the time.
  3. Therefore it is possible for a body to have constant acceleration but zero velocity such as in the case of a ball thrown upwards.

Hence, the given situation is possible.


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