The linear momentum of a particle at time t is given by the equation P = x + `yt^(2)`, where x and y are constants. The instantaneous force acting on the particle during its motion is .....

Options

A. inversely proportioal to `t^(2)`
B. inversely proportioal to t
C. directly proportioal to t
D. directly proportioal to `t^(2)`

Answer

B

Explanation

`P= (x +yt^(2))`
`:. , (dp)/(dt ) =0 +2yt`
`:. , V = (3 xx 2 xx 0.6)/(10 + 20 + 0)`
`F= 2yt` where 2y constant
`F prop t`