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- Each function is the velocity of a particle on a line, in meters per second.v(t) = \cos t, \quad 0 \le t \le \dfrac{4\pi}{3}v(t) = 1 - \dfrac{1}{t}, \quad \dfrac{1}{2} \le t \le 4
- A particle moves along a line with acceleration $a
- Diego is an assistant referee who runs up and down the touchline of a soccer field.
- Mia, a juggler, releases a club 5 feet above the stage, moving straight up, and catches it at the same height 1.5 seconds later.
- Aisha operates a gantry crane that rolls along a straight rail in a container port.
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Position, displacement and distance from velocity: the lesson ›More Chapter 9 worksheets: Applications of integration: area, volume, accumulation
- 9.1The net change theorem in context
- 9.2Position, displacement and distance from velocity
- 9.3Area between curves
- 9.4Average value of a function
- 9.5Volumes with known cross sections
- 9.6The disk method
- 9.7The washer method