# Nose cone design for minimal drag

What formula defines a curve for a nose cone with the minimal possible drag?

The nose cone is attached to a cylinder (assume it goes on forever). The volume of the nose cone is not relevant. The nose cone isn't near the ground. And the object will be traveling at 20m/s max.

So far, I've been using the sears haack body but im not sure if it is actually the best possible curve.

However you are saying that your object would not move faster than $20 ms^{-1}$, which is far below the speed of sound ($mach 1\approx 340 ms^{-1}$) assuming this would be in earths atmosphere near sea-level.
So elliptical cone would be a good choice, however it is not given which length would give the lowest drag. I would suspect that the length would be larger than the radius, because the drag coefficient (for $F_D\propto v^2$) for a half-sphere (elliptical cone with length equal to the radius) is higher that a elliptical cone with a slightly longer length.
After a bit of searching I did found some experimental results which are in the region of your maximum speed ($39.2 mph\approx 17.4 ms^{-1}$). The results from this experiment showed that a long elliptical nose cone had the least drag, which had a length to diameter ratio of approximately 3. The experiment also contained a shorter elliptical nose cone with a ratio of approximately 1.4. I would not be able to say that a ratio of 3 would be optimal, but it should at least be bigger than 1.4.