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Question

Which of the following distance-time graph shows a truck moving with speeds which is not constant.


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 answer: Option C:

  1. The graph is parabolic in nature.
  2. It depicts the non-uniform motion i.e a body is covering an unequal distance in equal intervals of time, whatsoever small the interval is.
  3. Therefore, the graph depicts the speed of the body changes with time.

The explanation for the incorrect answer: Option A:

  1. This graph depicts the linear relationship between distance and time. Therefore this graph depicts the uniform motion.
  2. That is this graph doesn't depict the speed of the body changes with time.

The explanation for the incorrect answer: Option B:

  1. This graph depicts that body is at rest i.e. the body is in the same position at every instant of time.
  2. Hence, this graph doesn't depict the speed of the body changes with time.

The explanation for the incorrect answer: Option D:

  1. This graph depicts the linear relationship between distance and time. Therefore this graph depicts the uniform motion.
  2. That is this graph doesn't depict the speed of the body changes with time.

Conclusion:

  1. Thus, option C is the correct answer.

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