I need some help. Our company is holding a paper airplane constest for distance and I've been trying to work out the math to find the best mass, wing-span, wing-chord, launch angle, etc. combination. I've worked through a bunch of the math but I've just been stumped by what appears to be a pretty simple problem. In essense, the current speed equals the previous speed minus the drag:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]V_{t+\Delta t} [/itex] is the velocity at the current time,

[itex]V_{t} [/itex] was the velocity at the previous time,

[itex]\mu [/itex] is a mindless coefficient (includes mass, surface area, etc.),

[itex]\Delta t[/itex] is the difference in time between [itex]V_{i} [/itex] and [itex]V_{i+1} [/itex].

[itex]V_{t+\Delta t} = V_{t} - \mu (V_{t}^2) \Delta t[/itex]

So, given the initial speed, at [itex]t = 0 [/itex] will be, let's say, 20m/s, I want a continuous function that will tell me the velocity as a function of time. I know there is a slope-integration-trapezoidish thing that will solve this in a heart beat, but I just can't seem to think of it.

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# Aerodynamic Drag Problem

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