Question

The distance of a particle moving on a circle of radius 12m

Answer 1

Centripetal acceleration of the particle is:ac = v2/r=v2/12……………………………………( I ).

Distance that is measured as s=at3.ds/dt = v = 3at2 and d2s/dt2 =at=6at.Ratio of ac to at is expressed as =v2/12 /6at=3at2/72at=t/24.

Therefore, ration of these two accelerations at t=2s is expressed as ac/at=2/24=1/12 or 1 : 12, Hence the answer