Kinematics Homework Help (2D motion)-Stopping over time

[ithrowboxes]

Homework Statement

You're driving down the highway late one night at 18m/s when a deer steps onto the road 41m in front of you. Your reaction time before stepping on the brakes is 0.5s and the maximum deceleration of your car is 12 m/s/s

Homework Equations

1) How much distance is between you and the deer when you come to a stop?
2) What is the maximum speed you could have and still not hit the deer?

The Attempt at a Solution

Am I doing this right? She gives us the answer of 19m for the 1st question and 25m/s for the 2nd question. But I am coming up with a different answer for the first question.

First I figured the distance between the car and deer to be 36m, after you take into account the 0.5s reaction time. Then I started to calculate distance it takes to stop.

The equation I used was v_f² = v_o²+2*a*d

I plugged in the variables to get 0m²/s² = 324m²/s² + (-24m²/s²)*d ... I solve for d to get 13.5m, which is the distance traveled. Take 36m - 13.5m to get 22.5m from the deer, not 19m. I have not attempted the 2nd question yet because I thought I may be doing something incorrect.

 

[Enigman]

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First I figured the distance between the car and deer to be 36m, after you take into account the 0.5s reaction time. Then I started to calculate distance it takes to stop.
.

That should be 32.