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A particle is moving with a velocity of `vec(v)=(3hat(i)+4that(j))m//s`. Find the ratio of tangential acceleration to that of total acceleration at `t=1sec`

A

`(4)//(5)`

B

`(3)//(5)`

C

`(5)//(4)`

D

`(3)//(4)`

Text Solution

Verified by Experts

The correct Answer is:
A

At `t=1s, v=sqrt(3^(2)+4^(2))=5,vec(a)=(vec(dv))/(dt)=4hat(j)`
`a_(t)=4cos37^(2)=(16)/(5)rArr(a_(t))/(a)=(16//5)/(4)=(4)/(5)`
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