A car and a truck are both traveling at the constant speed of 35 mi/h; the car is 40 ft behind the truck. The driver of the car wants to pass the truck, i.e.,he wishes to place his car at B, 40 ft in front of the truck, and then resume the speed of 35 mi/h. The maximum acceleration of the car is 5 ft/s2 and the maximum deceleration obtained by applying the brakes is 20 ft/s2. What is the shortest time in which the driver of the car can complete the passing operation if he does not at any time exceed a speed of 50 mi/h? Draw the v-t curve.

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A car and a truck are both traveling at the constant speed of 35 mi/h;
the car is 40 ft behind the truck. The driver of the car wants to pass
the truck, i.e.,he wishes to place his car at B, 40 ft in front of the truck,
and then resume the speed of 35 mi/h. The maximum acceleration of
the car is 5 ft/s2 and the maximum deceleration obtained by applying
the brakes is 20 ft/s2. What is the shortest time in which the driver of
the car can complete the passing operation if he does not at any time
exceed a speed of 50 mi/h? Draw the v-t curve.

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