If the magnitude of the net force acting on the particle is F, how long does it take the particle to acquire its final velocity, 2v in the positive y direction

Force, F-

The agent or the cause of change inside a system or an objects position is called as the force, F.

Unit - newton, N.

Explanation:

Momentum, p is the product of mass, m and velocity, v of the body. And lets say that,

F=dp/dt,

Then, putting the values in the equation above:

F=d (m. v) / dt,

As, we can simplify it now as,

F=m. (dv) / dt, as we can say that, a=dv/dt.

F=m. a

So, results can be very simplified to clear the concepts by going through the above procedure.