Car on Road

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.

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

• 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