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A particle moves such that its positio...

A particle moves such that its position vector `vecr (t) = cos omegahati + sin omegat hatj` where `omega` is a constant and t is time . Then which of the following statements is ture for the velocity `vecv` (t) and acceleration `veca` (t) fo the particle:

A

Velocity and acceleration both are perpendicular to `vecr`.

B

Velocity and acceleration both are parallel to `vecr`

C

Velocity is perpendicular to `vecr` and acceleration is directed towards the origin.

D

Velocity is perpendicular to `vecr` and acceleration is directed away from the origin

Text Solution

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The correct Answer is:
C
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