A particle with a mass of \(0.5 \mathrm{~kg}\) has a velocity of \(10 \mathrm{~m} / \mathrm{s}\) in the \(x\)-direction at time \(t=0\). Forces \(\mathbf{F}_{1}\) and \(\mathbf{F}_{2}\) act on the particle, and their magnitudes change with time according to the graphical schedule shown. Determine the velocity \(\mathbf{v}_{2}\) of the particle at the end of the 3 -s interval. The motion occurs in the horizontal \(x-y\) plane.

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y F2 F 10 m/s F, N 4 x 2 E Fi F2 00 12 3 t, s