Table of contents
- 0. Functions(0)
- Introduction to Functions(0)
- Piecewise Functions(0)
- Properties of Functions(0)
- Common Functions(0)
- Transformations(0)
- Combining Functions(0)
- Exponent rules(0)
- Exponential Functions(0)
- Logarithmic Functions(0)
- Properties of Logarithms(0)
- Exponential & Logarithmic Equations(0)
- Introduction to Trigonometric Functions(0)
- Graphs of Trigonometric Functions(0)
- Trigonometric Identities(0)
- Inverse Trigonometric Functions(0)
- 1. Limits and Continuity(0)
- 2. Intro to Derivatives(0)
- 3. Techniques of Differentiation(0)
- 4. Applications of Derivatives(0)
- 5. Graphical Applications of Derivatives(0)
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions(0)
- 7. Antiderivatives & Indefinite Integrals(0)
- 8. Definite Integrals(0)
4. Applications of Derivatives
Motion Analysis
4. Applications of Derivatives
Motion Analysis: Study with Video Lessons, Practice Problems & Examples
36PRACTICE PROBLEM
A car starts from City A and travels towards City B. The position function of the car is given by s=g(t), where s is the distance in kilometers from City A, and t is the time in hours since departure at 8:00 A.M. The car makes a return trip to City A, arriving back 8.5 hours later at 4:30 P.M. Approximate the velocity of the car at P.M. and state the reason for the velocity being negative.

A car starts from City A and travels towards City B. The position function of the car is given by s=g(t), where s is the distance in kilometers from City A, and t is the time in hours since departure at 8:00 A.M. The car makes a return trip to City A, arriving back 8.5 hours later at 4:30 P.M. Approximate the velocity of the car at P.M. and state the reason for the velocity being negative.