You are driving down the highways late one night at 20m/s when a deer steps onto

Question

You are driving down the highways late one night at 20m/s when a deer steps onto the road 35m in front of you. Your reaction time before stepping on the break is 0.50 a and the maximum deceleration is 10 m/s^2.
A. How much distance is between you and the deer when you come to a stop? B. What is the maximum sped you could have and still not hit the deer? You are driving down the highways late one night at 20m/s when a deer steps onto the road 35m in front of you. Your reaction time before stepping on the break is 0.50 a and the maximum deceleration is 10 m/s^2.
A. How much distance is between you and the deer when you come to a stop? B. What is the maximum sped you could have and still not hit the deer?
A. How much distance is between you and the deer when you come to a stop? B. What is the maximum sped you could have and still not hit the deer?

Explanation / Answer

This can easily be solved using one of the kinematic equations of motion.

Let's deal with the reaction time first. We know you reaction time is 0.50 s, and the car travels a distance of (20 m/s)(0.5 s) = 10 m in that time, leaving a distance of 41 m - 10 m = 31 m to the deer when you start braking.

Assuming your car decelerates at 10 m/s

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