A motorist traveling on a highway at a speed of 60 mi/h exits onto an ice-covered exit ramp. Wishing to stop, he applies his brakes until his automobile comes to rest. Knowing that the magnitude of the total acceleration of the automobile cannot exceed 10 ft/s^2, determine the minimum time require for the automobile to come to rest and the distsnce it travels on the exite ramp during that time if the exit ramp (a) is straight (b) has a constant radius of curvature of 800 ft.
Solve each part assuming that the driver applies his brakes so that dv/dt , during each time interval, (1)remains constant ,(2) varies linearly ?