Ch 6. Integrals Multimedia Engineering Math IndefiniteIntegral Area DefiniteIntegral FundamentalTheorem SubstitutionRule
 Chapter 1. Limits 2. Derivatives I 3. Derivatives II 4. Mean Value 5. Curve Sketching 6. Integrals 7. Inverse Functions 8. Integration Tech. 9. Integrate App. 10. Parametric Eqs. 11. Polar Coord. 12. Series Appendix Basic Math Units Search eBooks Dynamics Fluids Math Mechanics Statics Thermodynamics Author(s): Hengzhong Wen Chean Chin Ngo Meirong Huang Kurt Gramoll ©Kurt Gramoll

 MATHEMATICS - CASE STUDY Introduction 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. 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