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

Options

A. `(4)//(5)`
B. `(3)//(5)`
C. `(5)//(4)`
D. `(3)//(4)`

Answer

A

Explanation

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)`