Which of the following is incorrect?

If the velocity of a body changes, it must have some acceleration.

If the speed of a body changes, it must have some acceleration.

If the body has acceleration, its speed must change.

If the body has acceleration, its velocity must change.

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Solution

If body has an acceleration the it is not necessary that speed of the body changes.
Ex; in circular motion , body has an acceleration, therefore velocity of the body changes but speed remains same.

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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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