Does anyone know how I can calculate the minimal initial velocity required to get to a certain altitude for a given object?
I'm assuming an earthlike planet and a streamlined projectile with a maximum diameter of 8mm and a mass of roughly 40 grams and want it to reach an altitude of 55560 meters at the apex of its trajectory.
If possible I would like a parametrized solution so that I could toy around with the variables (particularly air density and/or molar mass, and possibly projectile velocity at the desired altitude), though this isn't a must if it complicates matters overmuch.
Personally I've reached a differential equation that even Wolfarm Alpha can't seem to solve, hence this thread...
I'm assuming an earthlike planet and a streamlined projectile with a maximum diameter of 8mm and a mass of roughly 40 grams and want it to reach an altitude of 55560 meters at the apex of its trajectory.
If possible I would like a parametrized solution so that I could toy around with the variables (particularly air density and/or molar mass, and possibly projectile velocity at the desired altitude), though this isn't a must if it complicates matters overmuch.
Personally I've reached a differential equation that even Wolfarm Alpha can't seem to solve, hence this thread...