Ch 9. Integrate Application Multimedia Engineering Math Area BetweenCurves Volume Work Average Value
 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 Stop an Escaping Car In an exercise offered by a police school, the students are required to pursue a passing car using a police car. What is known: The passing car has a constant velocity of 80 mph when it passes the police car. The police car's velocity can be modeled as where v is in mph, and t is in hour. The police car starts at rest. The maximum velocity of the police car is 120 mph. Questions How long does it take the police car to catch the escaping car? Approach Both of the cars cover the same distance when they ride side by side.The area under the velocity curves for each car will me then same. Transfer the unit of velocity to miles/minute to get better graphics. Then the velocity of the passing car is 1.333 miles/minute, and the police car's velocity function is where v is in miles/min, and t is in minute.