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MATHEMATICS - CASE STUDY

    Introduction


Car on Road
>Click here to view movie (22.0 KB)

 

As Lisa approaches an intersection, the traffic light suddenly turns red and she hits the brake and decelerates to a stop.

What is known:

  • The speed, v0, is 10 m/s.
  • The acceleration, a, is a constant, -5 m/s2.
   
  Questions

 

 

How far does the car travel before it comes to a stop?

     
    Approach


 
  • First, find the time required to stop the car.
  • The stopping distance is the integration of the velocity with respect to time.
  • The Fundamental Theorem of Calculus gives