Question
A paramilitary aircraft maintains a straight and steady flight path at 1000 meters above the Atlantic Ocean, heading due south at a constant speed. The
A paramilitary aircraft maintains a straight and steady flight path at 1000 meters above the Atlantic Ocean, heading due south at a constant speed. The whole jet is 20 meters long from nose to tail. The craft approaches a control tower located on the line of latitude which is known as the Tropic of Cancer, and which is located 23 degrees north of the equator. At precisely the instant the NOSE of the Yaver crosses the Tropic of Cancer, its underside hatches open and release a Baum: #1 Baum. THE TAIL of the Yaver crosses that same line precisely ONE-TENTH of a second later.
The Baum is not thrust nor propelled from the plane. It is simply dropped. Relative to the jet plane, the initial velocity of the Baum is necessarily 0. The plane crosses the latitude line at a point 400 meters west of the control tower. At precisely that same instant at which the plane crosses the tropic and drops its charge, at precisely a height from within the control tower identical to that of the plane's altitude, an elevator cable snaps, and a freight elevator full of mops and buckets free-falls straight down toward the ground, 1000 meters below.
A) How far south from the Tropic does the Baum land? B) At the moment the Baum touches down to the ground, is the elevator cage already there? Should it arrive later? How much time should the elevator cage take to fall, as compared to the Baum? Precisely 3 seconds after the Yaver drops its first Baum, the aircraft drops a second -- again, fully vertically. C) When should the first Baum hit the ground D) Where should we expect to find it -- displaced by how much measured from the first Baum? E) Imagine that the Yaver continues to drop (release) Baums identically and in succession: It drops one new Baum every 3 seconds. Imagine that a press photographer sits still in a balcony 500 ft up from a ground point somewhere near to and slightly north of the Tropic. F) Approximately how many Baums should be captured in one arbitrary, representative photograph? G) Approximately how should they be arranged in a field of view? H) Draw what you believe would be seen: specifically, the number and arrangement of objects under the plane, from the perspective of the journalist perched halfway up the altitude in a nearby building.
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