You're driving down the highway late one night at 20 m/s when a deer steps onto the road 45 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 10 m/s^2.
a. How much distance is between you and the deer when you come to a stop? ANSWER: 15 m
b. What is the maximum speed you could have and still not hit the deer? ANSWER: 20 m/s
c. What is the maximum speed you could have and still not hit the deer?