Problem Two trains pass each other on parallel tracks. The plots of their positi

Question

Problem Two trains pass each other on parallel tracks. The plots of their positions versus time are shown on the graph, below. They pass each other twice, at times ta and ig. The three statements below concern the motion of the trains. Identify whether each is true or false True At no time between ta and tB do both trains have the same acceleration. True Both trains have the same average velocity between times tA and tB FalseBoth trains travel the same distance between times tA and tB. Velocity is the slope of the graph. Acceleration is the rate of change of the slope with time

Explanation / Answer

A) True

They have the same average VELOCITY (slope of the x-t curve). The One starting ahead has a negative acceleration the whole time. (2nd derivative of the curve) The one starting behind has zero acceleration.

B) True

average velocity Vavg = (xf - xi)/(tB-tA)

xf and xi , tB and tA are same for both trains

C) False

initial and final poistions are same for the both trains but paths are not same

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