The Felix Baumgartner Equation

Introduction We want to describe, even in not with a fully realistic accuracy, the motion of Felix Baumgartner while...falling from the sky as it happend on October 14, 2012. To do this, we well make use of Wolfram’s Mathematica. The Austrian daredevil jumped from a helium ballon at an altitude of 39,014 m and opened … Continue reading The Felix Baumgartner Equation

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Derivatives

$latex Df(x)=f'(x)=\frac{df}{dx}=\frac{d}{dx}f=\dot{f}(x) = \lim_{h \to 0}\frac{f(x+h)-f(x)}{h} $ Introduced in order to fix the idea of velocity: $latex v = \lim_{\Delta t \to 0}\frac{\Delta s}{\Delta t}=\frac{ds}{dt} $ See: Zeno's paradoxes Working example: $latex s(t) = At^3 + Bt + C$ $latex s + \Delta s = A ( t + \Delta t )^3 + B ( … Continue reading Derivatives