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Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions. A B 3

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Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their velocity functions. A B 3 6 t (min) (a) Which car is ahead after three minutes? car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (b) What is the meaning of the area of the shaded region in the context of this problem? It is how much faster A is traveling than B after 3 minutes. It is how much faster B is traveling than A after 3 minutes. It is the distance by which A is ahead of B after 3 minutes. It is the distance by which B is ahead of A after 3 minutes. (c) Which car is ahead after six minutes? car A car B Explain your reasoning. The area under curve A is greater than the area under curve B. The area under curve B is greater than the area under curve A. (d) Estimate the time t (in min) at which the cars are again side by side. min

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