Kinematics Equations Video Lessons

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Problem: A driver has a reaction time of 0.50 s, and the maximum deceleration of her car is 6.0 m/s2. She is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her. What is the distance she passes after noticing the obstacle before fully stopping?

FREE Expert Solution

Consider the following kinematic equations:

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

The stopping distance after pressing the brakes is found from the fourth kinematic equation.

vf = 0 since the car is stopping.

0 = v02 + 2aΔx

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Problem Details

A driver has a reaction time of 0.50 s, and the maximum deceleration of her car is 6.0 m/s2. She is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her. 

What is the distance she passes after noticing the obstacle before fully stopping?

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