Your car breaks down in the middle of nowhere. A tow truck weighing 4000 lbs comes along and agrees to tow your car, which weighs 2000 lbs, to the nearest town. The driver of the truck attaches his cable to your car at an angle of 20◦ to the horizontal. He tells you that his cable has a strength of 500 lbs (that is, it will break if the tension is greater than 500 lbs). He plans to take 10 seconds to tow your car at a constant acceleration from rest in a straight line along the flat road until he reaches the maximum speed limit of 45 miles/hour.
Can the driver carry out his plan? Make appropriate calculations to support your answer. Assume that rolling friction behaves like kinetic friction and that the coefficient of rolling friction between your tires and the road is 0.10.