2.8.Set Up:is the slope of the xversus tgraph. In each case this slope is constant, so is constant.Solve:The graphs of versus tare sketched in Figure 2.8.Figure 2.82.9.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,Usecoordinates for which the origin is at her starting point and the x-axis is along a diameter, as shown in Figure 2.12.Figure 2.12Solve: (a)After one lap she has returned to her starting point. Thus,and (b)and average speed5dt563 m28.7 s52.20 m/svav-x5DxDt540.0 m28.7 s51.39 m/s;Dx540.0 mdt5126 m62.5 s52.01 m/saverage speed 5vav,x50.Dx50StartAfter 1 lapAfter lapOyx122d563 m.d5 p140.0 m25126 m.t5d
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