p02_006

Fundamentals of Physics,Vol 1 (Chapters 1 - 20)

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6. (a) Using the fact that time = distance/velocity while the velocity is constant, we Fnd v avg = 73 . 2m+73 . 2m 73 . 1 . 22 m / s + 73 . 3 . 05 m =1 . 74 m / s . (b) Using the fact that distance = vt while the velocity v is constant, we Fnd v avg = (1 . 22 m / s)(60 s) + (3 . 05 m / s)(60 s) 120 s =2 . 14 m / s . (c) The graphs are shown below (with meters and seconds understood). The Frst consists of two (solid) line segments, the Frst having a slope of 1 . 22 and the second having a slope of 3 . 05. The slope of the dashed line represents the average velocity (in both graphs). The second graph also consists of two (solid) line segments, having the same slopes as before – the main di±erence (compared to the Frst graph) being that the stage involving higher-speed motion lasts much longer.
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