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A 3.20kg box is moving to the right with speed 10.0m/s on a horizontal, frictionless surface. At t = 0 a horizontal force is applied to the box. The force is directed to the left and has magnitude F(t)=( 6.00N/s^2 )t^2 a) What distance does the box move from its position at t=0 before its speed is reduced to zero? b) If the force continues to be applied, what is the velocity of the box at 4.00s ?
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