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Q.

Which of the following statements is/are correct?

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a

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

b

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

c

If the body has acceleration, its speed must change.

d

If the body has acceleration, its speed may change.

answer is A.

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Detailed Solution

a = dv/dt, if velocity changes, definitely there will be acceleration. If speed changes, then velocity also changes, so definitely there will be acceleration. Acceleration may be due to change in the direction of velocity only and not magnitude. If body has acceleration, its speed may change if acceleration is due to change in the magnitude of velocity.
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