Deriving the Rocket Equation using Calculus

Rocket Equation
Rocket Equation

I made this tutorial about how to find the rocket equation using calculus. Now I know that it seems outside of my normal area of interest, but the truth is that I have a secret love of mathematics. I solve physics problems for the same reason people like doing puzzles; for an entertaining challenge. Anyway, I digress.

There are two things discussed here. First is the indefinite integral which gives a function of the rocket’s speed with respect to time, and secondly is the definite integral, which gives the rocket’s change in speed or ‘delta v.’

I started with acceleration instead of the other approaches because it’s intuitive if you understand Newton’s equations pretty well. I also made a graph on desmos with all three integrations from acceleration to position graphed out as functions of time.

Link to Desmos Graph

Be the first to comment on "Deriving the Rocket Equation using Calculus"

Leave a comment

Your email address will not be published.


*


www.000webhost.com