ch02-p008 - 8. Let vw be the speed of the wind and vc be...

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8. Let w v be the speed of the wind and c v be the speed of the car. (a) Suppose during time interval 1 t , the car moves in the same direction as the wind. Then its effective speed is ,1 eff c w vv v =+ , and the distance traveled is ,1 1 1 () eff c w dvt vvt == + . On the other hand, for the return trip during time interval t 2 , the car moves in the opposite direction of the wind and the effective speed would be ,2 eff c w v =− . The distance traveled is ,2 2 2 eff c w . The two expressions can be rewritten as 12 and cw dd tt += −= Adding the two equations and dividing by two, we obtain
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