Correct
When you press the brakes at time \tau _(2)= U.כ s amer seeıng the deer, the acceleration changes. You will need to consider the two time intervals (before and after the brakes are pressed) separately, since they have different accelerations. Let t_(1)=0s be the moment when you see the deer and x_(1)=0m be your position at that moment. Let t_(2) and x_(2) be the time and position when you press the brakes, and let t_(3) and x_(3) be the time and position when you finally come to rest.
Part B
Sort the variables for the period from t_(1)=0s to t_(2)=0.5s based on whether their values are known or unknown. Then, how much time is there between you and the deer wjen you stop?