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DO NOT TRY THIS EXPERIMENT BASED UPON MY MATHS

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.

Quote from: LeeE on 20/07/2009 22:42:35DO NOT TRY THIS EXPERIMENT BASED UPON MY MATHSWHY???

Quote from: sophiecentaur on 21/07/2009 13:32:03The 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. If "It is actually 45degrees" in general, rockets including the space shuttle, most basketball shots, and artillery canons round the world would be locked in at 45°. And for the optimum solution being a bit above horizontal, that's what my 3 minute diagram shows. The optimum horizontal distance without a ground to hit is found at 0° with a set velocity, just as the optimum vertical distance without a ceiling to hit is found at 90° with a set velocity. We can both agree that the optimum angle of attack for the current situation is not 45°, and is not exactly 0°, but much closer to the latter.

Putting 45degrees into any example gives the max range.