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Question

When a body is moving with constant acceleration and its initial velocity is not zero, the velocity-time graph for such motion of the body is


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

The explanation for the correct option

  1. The slope of the velocity-time graph gives acceleration.
  2. If a body is moving with constant acceleration then the slope of the velocity-time graph should be constant and positive i.e., the graph must be a straight line.
  3. It is given that the initial velocity is not zero, so the graph cannot originate from the origin.

So, answer C is the correct option.

The explanation for the incorrect option

  1. In the case of A, the initial velocity is zero. Therefore, it is an incorrect answer.
  2. In the case of B, the initial velocity is not zero but it is deaccelerated because the velocity is decreasing. Therefore, it is an incorrect option.
  3. In the case of D, the body is initially at rest. Therefore, it is initiating from rest, not with some initial velocity. Hence, it is an incorrect option.

So, answer C is the correct option.


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