A driver traveling at 65mph rounds a curve on a level grade to see atruck overturned across the highway at a distance of 350 ft. If thedriver is able to decelerate at a rate of 10 ft/s
2
, at what speed will thevehicle hit the truck? Plot the result for reaction times ranging from0.50 to 5.00 s in increments of 0.5s. Comment on the results.
When the driver first sees the overturned truck, he will continue tomove at 65 mi/h during this reaction time. During this time, the vehiclewill travel 1.47*65*t feet, or 95.5
t
ft. Thus, the distance available forbraking is 350 – 95.5
t
feet. This is the distance that is available fordeceleration before the vehicle hits the overturned truck. The formulafor braking distance is