We are also given the distance it takes our train to

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Unformatted text preview: n 1) travels from rest with constant acceleration. We are also given the distance it takes our train to accelerate to a know speed, which we will use later. Focusing on the position of the trains when they pass leads to two equations for distance, which at the time of passing must be equal. Using the standard equations for constant acceleration motion: 1 x1 = x0 + v1 t + a1 t2 2 1 x2 = x0 + v2 t + a2 t2 2 12 1 x0 + v1 t + a1 t = x0 + v2 t + a2 t2 2 2 However, we know that x0 is the same for both, v1 is zero, and a2 is zero. This results in: 12 a1 t = v2 t 2 a1 t2 = 2v2 t a1 t = 2v2 2v2 t= a1 The velocity of the freight train, v2, is known, so to determine the tim...
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