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A commuter train travels along a straight path from the Lincoln Street stop to the San Francisco Street stop in six minutes. The train leaves Lincoln Street and travels with uniform acceleration for the first 1 km. Then, for the next 2 km, the train travels with a uniform speed. Next, the train decelerates uniformly for 1 km and arrives at rest at San Francisco Street.
a. Draw the velocity-time graph.
b. Determine the maximum speed of the train.
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