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To get a trailer up to a speed v in a time t, you would need to get it accelerating at a rate of v/t. From F=ma, the net force on the trailer to achieve this would have to be mv/t. First, you'll need to apply a force greater than the static frictional force to get the trailer moving - then to get the desired acceleration, you'd apply a force F = mv/t + Ff where Ff is the kinetic friction of the axel/tires. So, once you overcome the static friction the required force to achieve velocity v in time t would be: F = mv/t + frictional force

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