Let us now consider several two-dimensional situations. A particle of mass m is moving in the positive x-direction at speed v. After a certain constant force is applied to the particle, it moves in the positive y-direction at speed 2v.
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?
Express your answer in terms of m, F, and v. If you use a numerical coefficient, use three significant figures.