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A particle moves on a circle of radius r...

A particle moves on a circle of radius `r` with centripetal acceleration as function of time as `a_c = k^2 r t^2`, where `k` is a positive constant. Find the following quantities as function of time at an instant :
(a) The speed of the particle
(b) The tangential acceleration of the particle
( c) The resultant acceleration, and
(d) Angle made by the resultant acceleration with tangential acceleration direction.

A

`kr^2`

B

`kr`

C

`krsqrt(k^2t^4 + 1)`

D

`krsqrt(k^2 r^4 - 1)`

Text Solution

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The correct Answer is:
C
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