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Question

The acceleration time graph of a body is shown below:


Which of the following is the velocity-time graph?


A

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B

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C

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D

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Solution

The correct option is C


Step 1: Analysing the given graph

  1. The graph is plotted between the acceleration and time of a body in motion.
  2. In the first part of the graph, acceleration is constant.
  3. In the second part of the graph, acceleration is zero with the increase in time.
  4. In the third part of the graph again the body gained constant acceleration.

Step 2: Explanation for the correct answer

  1. For constant acceleration, we can say that velocity is increasing uniformly with the increase in time.
  2. For zero acceleration, we can say that the body is moving with a constant velocity.
  3. So plotting a graph between velocity and time for the same body in motion we get

Hence,

option (c) represents the correct graph between velocity and time.


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