The 400-kg mine car is hoisted up the incline using the cable and motor M. For a

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The 400-kg mine car is hoisted up the incline using the cable and motor M. For a short time, the force in the cable is F = (3200t2) N, where t is in seconds. If the car has an initial velocity v₁ = 2 m/s at s = 0 when t = 0, determine the distance it moves up the plane when t = 2 s.

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