Calculus 1 · Chapter 9 · Lesson 9.2 · Printable PDF

Position, Displacement and Distance from Velocity Worksheet with Answer Key

5 problems on position, displacement and distance from velocity. 3 pages, with a worked answer key.

5 problems3 pagesanswer key
Printable Position, displacement and distance from velocity worksheet with answer key - Calculus 1 (Page 1 PDF preview)
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What's on the worksheet

  1. 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
  2. A particle moves along a line with acceleration $a
  3. Diego is an assistant referee who runs up and down the touchline of a soccer field.
  4. 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.
  5. Aisha operates a gantry crane that rolls along a straight rail in a container port.

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More Chapter 9 worksheets: Applications of integration: area, volume, accumulation