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Unformatted text preview: 6more, and deﬁne North as the posi6ve direc6on At what 6me is the train slowing down with a posi6ve accelera6on? A B C D E Time Kinema6cs Diﬀeren6a6on gets us from displacement to velocity (slope of the curve in a plot of x versus t) x Slope, dx/dt = v t Kinema6cs Integra6on gets us from velocity to displacement (area under the curve in a plot of v versus t) v tf Area = vdt ∫ ti t € = ( x f − xi ) Kinema6cs Similarly, diﬀeren6a6on of the velocity yields the accelera6on v Slope, dv/dt = a...
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