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alanab

calculs and skydiving help

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No calculus needed.



Not true.

No calculus needed for the "estimate". Just delta y/delta t work.

But the last part does require a simple derivative.


You should take a look at math and physics history sometime, and see what can be done without calculus. Newton invented calculus, but didn't use it for most of his work. This is a linear acceleration problem, the velocity can be determined without the use of calculus. Even Kepler's laws can be derived without the use of calculus - much more difficult than this problem.

The gravitational force acting inside (or outside) a uniform spherical shell can also be determined purely geometrically. (Or any inverse square law force, for that matter).

EDITED to add: geometry is taught really poorly these days, in the rush to get students on to calculus. The things that can be done with geometry alone are quite remarkable, but almost no-one gets to know that any more.
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EDITED to add: geometry is taught really poorly these days, in the rush to get students on to calculus. The things that can be done with geometry alone are quite remarkable, but almost no-one gets to know that any more.

I agree with the Professor. I thought Geometry kicked ass and with Geometry and just a little bit of Trig, damn the things you can do ...
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