A particle with a mass of 3.00 kg is acted on by a force F, acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following.

(a) Impulse of the force (in kg ? m/s)?

(b) final velocity of the particle (in m/s) if it is initially at rest?

(c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -2.00 m/s.?

F, (N) 21 I(s) 2.