You're driving down the highway late one night at 16m/s when a deer steps onto the road 44m in front of you. Your reaction time before stepping on...

You're driving down the highway late one night at 16m/s when a deer steps onto the road 44m in front of you. Your reaction time before stepping on the brakes is 0.50sec, and the maximum deceleration of your car is 12m/s/s. How much distance is between you and the deer when you come to a stop? What is the maximum speed you could have and still not hit the deer?