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

 Second Velocity 0 25 1 28 2 29 3 31 4 33 5 37 6 45 7 52 8 66 9 85 10 110

Velocity

Dana is testing the acceleration system of a car. She records the velocity of the car every second and wants to know the distance that the car moves during ten seconds.

What is known:

The velocity of the car at each second is given in the table on the left.

Questions

How far does the car move during the first 10 seconds?

Approach

• The distance equals the velocity multipled by the time.
• The total distance is the sum of the distance moved in each second.