Which of the following statements are true for a moving body?

If its speed changes, its velocity must change and it must have some acceleration.

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If its velocity changes, its speed must change and it must have some directions.

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If its velocity changes, its speed may or may not change, and it must have some acceleration.

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If its speed changes but direction of motion does not change, its velocity may remain constant.

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Solution

The correct options are
A If its speed changes, its velocity must change and it must have some acceleration.
C If its velocity changes, its speed may or may not change, and it must have some acceleration.
$v = \frac{c h a n g e i n d i s p l a c e m e n t}{c h a n g e i n t i m e} a n d a = \frac{c h a n g e i n v e l o c i t y}{c h a n g e i n t i m e}$
Speed is the magnitude of velocity.
There can be a case where there is change in direction but not in magnitude.

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Similar questions

Mark the correct statement(s)
(1) If speed of a body is varying, its velocity must be varying and it must have non-zero acceleration.

(2) If velocity of a body is varying, its speed must be varying.

(3) A body moving with varying velocity may have constant speed.

(4) A body moving with varying speed may have constant velocity, if its direction of motion remains constant.

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Give one example of motion where an object does not change its speed but it changes the direction of motion continuesly?

If the direction of motion changes, its velocity also changes.

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