Explanation:
Position-time graph as parabola: x = x₀ + ut + ½at². This quadratic form indicates constant acceleration 'a'. If acceleration were changing, the graph would be cubic or higher order. Constant velocity would produce a straight line (linear graph). Upward opening parabola implies positive acceleration. Graph interpretation skill is essential: slope of x-t graph = velocity; curvature indicates acceleration. Memory tip: Parabolic x-t graph ⇔ constant acceleration; linear x-t graph ⇔ constant velocity. Competitive exams frequently test graph-concept correlations.
Explanation:
When the coin is tossed, it moves forward with the initial velocity of the train due to inertia of motion. If the train accelerates during the time the coin is in the air, the train moves faster and travels a greater distance horizontally than the coin. Thus, the coin falls behind the passenger.
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