I have two functions:
F(t) - where F(t) is the force at a given time t
m(t) - where m(t) is the mass of the object in question at a given time t
Let's say that some force (in a thrust form) is applied to the object for "b" seconds. The function F(t) specifies in what manner.
How can I get the distance traveled by the object after "b" seconds, if we know that the velocity, acceleration and distance traveled are all 0 at t = 0?
The Attempt at a Solution
I've tried using an analogy of the Riemann sum (diving each instantaneous force by each instantaneous mass and summing everything for an acceleration-time function), and it turned out to be too tedious and imprecise to be applied practically.