The linear momentum of a particle is given by `vec(P)=(a sin t hati- acos t hatj) kg- m//s`. A force `vec(F)` is acting on the particle. Select correct alternative/s:

Options

A. Linear momentum `vec(P)` of particle is always parallel to `vec(F)`
B. Linear momentum `vec(P)` of particle is always perpendicular to `vec(F)`
C. Linear momentum `vec(P)` is always constant
D. Magnitude of linear momentum is constant with respect to time.

Explanation

`vec(F)=(vec(dp))/(dt)=a cos t hati+asin hatj`
`vec(F).vec(P)=0`
Magnitude of momentum.
`=sqrt(a^(2)cos^(2)t +a^(2)sin^(2)t)=a`