Table of contents
- 0. Functions(301)
- Introduction to Functions(42)
- Piecewise Functions(21)
- Properties of Functions(32)
- Common Functions(48)
- Transformations(19)
- Combining Functions(61)
- Exponent rules(0)
- Exponential Functions(9)
- Logarithmic Functions(1)
- Properties of Logarithms(10)
- Exponential & Logarithmic Equations(17)
- Introduction to Trigonometric Functions(13)
- Graphs of Trigonometric Functions(8)
- Trigonometric Identities(4)
- Inverse Trigonometric Functions(16)
- 1. Limits and Continuity(424)
- 2. Intro to Derivatives(123)
- 3. Techniques of Differentiation(260)
- 4. Applications of Derivatives(362)
- 5. Graphical Applications of Derivatives(202)
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions(101)
- 7. Antiderivatives & Indefinite Integrals(1)
- 8. Definite Integrals(0)
4. Applications of Derivatives
Motion Analysis
4. Applications of Derivatives
Motion Analysis: Videos & Practice Problems
4PRACTICE PROBLEM
Determine the velocity of the ball after t seconds which is launched straight up from the top of a building with an initial speed of 40 ft/s from a height of 60 ft above the ground. The height (in feet) of the ball above the ground t seconds after it is launched is given by the equation h(t)=−16t2+40t+60.
Determine the velocity of the ball after