A car is traveling up a 1.5% grade at 65 mi/hr on good, wetpavement. The driver brakes to try to avoid hitting a cone on theroad that is 300 ft ahead. The driver’s reaction time is 1.5second. When the driver first applies the brakes, a software flawcauses the braking efficiency to lower to 0.8 for 100 ft. After theinitial 100 ft, the braking efficiency returns to 1.0. How fastwill the driver be going when the cone on the road is hit if thecoefficient of rolling resistance is constant at 0.015? (Assumeminimum theoretical stopping distance and ignore aerodynamicresistance.)
