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Free fall with initial velocity


A pointlike object is launched vertically upward inside a train compartment while the train passes by a small train station with a constant velocity.
A passenger, who arrived too late to catch the train, is standing outside on the platform where she had the opportunity to observe the trajectory of the motion of the object. Intrigued by the very different result from what she had obtained earlier at home and, moreover, inside a compartment of a moving train, she decided to analyse her measurements of the various positions of the object in function of the instants of time after it has been set in motion. She almost missed the next train which arrived at the station just when she had come to the conclusion that also in this case the motion of the object can be fully described by applying F=ma for F=-mg, the weight of the object.




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