02_InstSolManual_PDF_Part3 - Motion along a Straight Line...

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2.8. Set Up: is the slope of the x versus t graph. In each case this slope is constant, so is constant. Solve: The graphs of versus t are sketched in Figure 2.8. Figure 2.8 2.9. Set Up: Let be the direction the runner travels. Solve: (a) (b) (c) 2.10. Set Up: Assume constant speed so Solve: (a) (b) 2.11. Set Up: Solve: (a) (b) 2.12. Set Up: The distance around the circular track is For a half-lap, Use coordinates for which the origin is at her starting point and the x -axis is along a diameter, as shown in Figure 2.12. Figure 2.12 Solve: (a) After one lap she has returned to her starting point. Thus, and (b) and average speed 5 d t 5 63 m 28.7 s 5 2.20 m / s v av- x 5 D x D t 5 40.0 m 28.7 s 5 1.39 m / s; D x 5 40.0 m d t 5 126 m 62.5 s 5 2.01 m / s average speed 5 v av, x 5 0. D x 5 0 Start After 1 lap After lap O y x 1 2 2 d 5 63 m. d 5 p 1 40.0 m 2 5 126 m. t 5 d
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