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Homework Statement
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?
Homework Equations

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 accelerationtime function), and it turned out to be too tedious and imprecise to be applied practically.