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Question

Which of the following statements is false?


A

If speed is zero, then its velocity also must be zero.

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B

If velocity is zero, then its speed also must be zero.

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C

If speed is constant, then its velocity also must be constant.

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D

If velocity is constant, then its speed also must be constant.

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Solution

The correct option is C

If speed is constant, then its velocity also must be constant.


It is not necessary for velocity to be constant even if its speed is constant.

Speed a scalar quantity only has magnitude. Whereas velocity being a vector quantity has both magnitude and direction. i.e. the velocity of the object changes even when the direction of motion changes. So, if a body is changing its direction without changing its speed, then its velocity will change.

For example, a body in uniform circular motion has a constant speed, but its velocity changes as the direction of motion of the body changes.


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