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[" A self propelled vehicle of mass "m" whose "],[" engine delivers constant power "P" has an "],[" acceleration "a=(P)/(mv)" (assume that there is no "],[" friction).In order to increase its velocity from "],[v_(1)" to "v_(2)" ,the distance it has to travel will be "],[(1)(3P)/(m)(v_(2)^(2)-v_(1)^(2))quad " (2) "(m)/(3P)(v_(2)^(3)-v_(1)^(3))],[" (3) "(m)/(3P)(v_(2)^(2)-v_(1)^(2))quad " (4) "(m)/(3P)(v_(2)-v_(1))]

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