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Question

A particle is moving on a circular track of radius 4 m such that its tangential acceleration is 2t m/s2. If the particle starts from rest, then at what time the angle between velocity and acceleration will be 45?

A
5 sec
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B
4 sec
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C
3 sec
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D
2 sec
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Solution

The correct option is D 2 sec
For θ=45 between a and v
at=acat=dvdtv0dv=t02t dt
v=t2ac=v2R=t44
at=ac2t=t44t=2 sec

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