A car starts from rest and accelerates to a speed of 60 mph in 20 s. The acceleration du...

A car starts from rest and accelerates to a speed of 60 mph in 20 s. The acceleration during this period is constant. For the next 20 minutes the car moves with the constant speed of 60 mph. At this time the driver of the car applies the brake and the car decelerates to a full stop in 10 s. The variation of the speed of the car with time is shown in the accompanying diagram. Determine the total distance traveled by the car and the average speed of the car over this distance. Also plot the acceleration of the car as a function of time.