So i was playing Kerbal Space Program and decided i wanted to calculate the maximum velocity of my ship. First, I formed this equation. A(t) = M - dm/dt (t) Where A is the amount of fuel at a given time, M is the total mass of the fuel, Dm/dt is the rate of change of the mass of the fuel, and t is time. As far as experiments in game show this equation works. The problem occurs when i want to calculate the maximum velocity. First i differentiated F = MA and solved for da/dt which gave me -F(dm/dt)/m^2 = da/dt. This gives me the jerk and i believe by multiplying it by t I can get the acceleration at a given time. (-F(dm/dt)/m^2 )(t) = a(t) .(adsbygoogle = window.adsbygoogle || []).push({});

From here I'm stuck. I can conceptualize how to obtain the velocity from this point. I started thinking of summation and that lead me take the integral. So my question is could I get the velocity at a given time by integrating this equation (-F(dm/dt)/m^2 )(t) = a(t)? Not sure if i provided enough information but thanks to anyone who can help.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Do I need to integrate?

Loading...

Similar Threads - need integrate | Date |
---|---|

I Need a little push on this integral using trig substitution. | Mar 15, 2017 |

I Help needed; problematic integral | Feb 6, 2017 |

I Need help with this definite integral | May 24, 2016 |

I need the solution to an Integral of type f[z]*Log[z]/z | Sep 30, 2015 |

Need help with the integration of attached problem | Jul 9, 2015 |

**Physics Forums - The Fusion of Science and Community**