Two runners are running next to each other when one decides to accelerate at a constant rate of a. The second runner notices the acceleration after a short time interval Δt when the distance between the runners is Δx. The second runner accelerates at the same acceleration. Represent their motions with a motion diagram and position-versus-time graph (both graph lines on the same set of axes). Use any of the representations to predict what will happen to the distance between the runners—will it stay Δx, increase, or decrease? Assume that the runners continue to have the same acceleration for the duration of the problem.
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