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## Homework Statement

A 0.2 kg particle moves in the x-y plane under the action of its weight and a force F that varies with time. The velocity of the particle is given by the expression

[tex]\hat{v}[/tex] = 7.5(t

^{2}+ 3)[tex]\hat{i}[/tex] - (10/3)(t

^{3}- 4)[tex]\hat{j}[/tex]

## Homework Equations

mv

_{1}+ [tex]\sum[/tex][tex]\int[/tex]Fdt = mv

_{2}

## The Attempt at a Solution

Am I crazy? Or Can I just plug in 't=2' into the given equation? I'm sceptical, because it seems too good to be true. It is asking for F at t = 2 and the effect of gravity seems to be accounted for in the vector equation.