You are driving a car at 30 m/s when a bad driver traveling at a constant speed of 20 m/s swerves into your lane 20 meters ahead. As soon as you see the car in front of you, you begin to brake. What is the smallest deceleration needed, in m/s2 , to avoid rear-ending the car? You may assume your acceleration is constant. Explain your reasoning.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter2: One Dimensional Motion
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You are driving a car at 30 m/s when a bad driver traveling at a constant speed of 20 m/s swerves into your
lane 20 meters ahead. As soon as you see the car in front of you, you begin to brake. What is the smallest deceleration
needed, in m/s2
, to avoid rear-ending the car? You may assume your acceleration is constant. Explain your reasoning.

 

 

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