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A body is moving on a circle of radius 8...

A body is moving on a circle of radius 80 m with a speed 20 m/s which is decreasing at the rate 5 `ms^(-2)` at an instant. The angle made by its acceleration with its velocity is

A

`1.25m`

B

`12.5m`

C

`25m`

D

`2.5m`

Text Solution

Verified by Experts

The correct Answer is:
A
`a_(n)=sqrt(a^(2)-a_(t)^(2))=sqrt((100)^(2)=(60)^(2))=80ms^(-2)`
Now, `a_(n)=(v^(2))/(R)"or"R=(v^(2))/(a_(n))=((10)^(2))/(80)=1.25m`
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