Kinenatics (NOT cst acceleration)

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[SOLVED] kinenatics (NOT cst acceleration)

I have no idea how to solve a problem that doesn't have constant acceleration. I'm guessing you have to set up an equation using the given values and solve for the variable..but I don't know.

This is the question anyhow:

You're driving down the highway late one night at 15.5 m/s when a deer steps onto the road 51.2 m in front of you. Your reaction time before stepping on the brakes is 0.810 s, and the maximum deceleration of your car is 8.11 m/s^2. How much distance is between you and the deer when you come to a stop?
 
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I would assume the acceleration is constant in this problem. I think that if you slam the breaks from the beginning, you should be applying the maximum acceleration for that interval. What else could "slamming" the breaks mean besides hitting them as hard as you can?