A 1.50kg box is moving to the right with speed 8.50m/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.

What distance does the box move from its position at t=0 before its speed is reduced to zero?