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Q.

Which of the following four statements is false

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a

A body can have zero velocity and still be accelerated  

b

A body can have a constant velocity and still have a varying speed  

c

A body can have a constant speed and still have a varying velocity

d

The direction of the velocity of a body can change when its acceleration is constant

answer is B.

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Detailed Solution

Speed is magnitude of velocity. If a body moves with velocity which has constant magnitude but direction can change as in uniform circular motion.Similarly a body can have acceleration without having velocity for example vertically projected body at its highest point. A body moving with constant velocity acceleration will be zero but if a body has variable speed its velocity automatically changes.so option i, iii and iv are correct and option ii is false

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