Problem: You're driving down the highway late one night when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.05 s and the maximum deceleration of your car is 10 m/s2.What is the maximum speed you could have and still not hit the deer? 

FREE Expert Solution

Uniform accelerated motion (UAM) equations:

 vf = v0 +atx= (vf+v02)tx= v0t+12at2 vf2= v02 +2ax

Distance covered before stepping on the brake:

Δx1 = v•t = 20 × 0.50 = 10m.

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Problem Details

You're driving down the highway late one night when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.05 s and the maximum deceleration of your car is 10 m/s2.

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

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