You're driving down the highway late one night at 20 m/s when a deer steps onto the road 49 m in front of you. Your reaction time before stepping on the brakes is 0.50 s, and the maximum deceleration of your car is 10m/s^2. How much distance is between you and the deer when you come to a stop? What is the maximum speed you could have reached and still not hit the deer?