A driver is traveling 70 mi/hr on a road with a -2% downgrade.The driver’s vehicle has a braking efficiency of 90% and hasanti-lock brakes. There is a stalled car on the road 500 ft aheadof the driver. The road is in good condition and is initially dry,but is wet for a 200 ft stretch just before the stalled car. Whatis the maximum allowable perception-reaction time of the driversuch that she can still stop before hitting the stalled car?(Assume theoretical stopping distance, ignore air resistance, andlet frl = 0.013.)