Youre driving down the highway late one night at 17ms when

Question

Problem: You're driving down the highway late one night at 17m/s when a deer steps onto the road 38m in front of you. Your reaction time before stepping on the brakes is 0.50s, and the maximum deceleration of your car is 11m/s².

Part A: What is the maximum speed you could have and still not hit the deer?

It'd be really helpful if you could show all steps of your work. Thanks.