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Physics, Astronomy & Cosmology / Sending information backwards through time
« on: 24/07/2009 20:52:31 »
Nothing? Ok. I'll assume that your silence is of the revered variety. I win?
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Putting 45degrees into any example gives the max range.
Here's a diagram showing three different trajectories, one succeeding and two ending with a trip to the emergency room or worse. The proportions are a bit wrong, but if the house is 20' high and the pool is 20' away, and assuming you do the same 10' jump you did while running, you can see here all three trajectories intersect 10'from the original place, but depending on the angle of attack have different parabolas and success. To get the most distance when aiming down at something its usually a good idea to shoot straight out, not waste any energy on jumping vertically
The optimum launch angle wouldn't be horizontal, in fact. If that applied in general, the max distance over a level surface would be achieved with a horizontal take off. It is actually 45degrees ( if you ignore air resistance) if start and finish are the same height. For the pool situation the optimum will be a bit above horizontal.