A $500$ gg particle has velocity vxvx $=1\mathrm{.}0$ m$/$sm$/$s at tt $=-2$ ss$.$ Force Fx$=(4$t$2)$NFx$=(4$t$2)$N$,$ where tt is in ss$,$ is exerted is exerted on the particle between t$=2$st$=2$s and tt $=2$ ss$.$ This force increases from $0$ NN at tt $=-2$ ss to $4$ NN at tt $=0$ ss and then back to $0$ NN at tt $=2$ ss$.$

Part A

What is the particle$$s velocity at tt $=2$ ss$?$

Express your answer with the appropriate units.

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vv $=$

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