- #1
StephenSF8
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I've measured velocities of a particle at varying displacements and characterized the velocity as [tex]V(x) = 0.0002x^2 - 0.6484x + 885[/tex].
You can see that I know velocity (V) as a function of displacement (x). Ultimately I want to end up with a function for displacement as a function of time (t). I imagine that somehow a chain rule is used to change the variables, but I'm having trouble figuring it out. The books I have glaze over the issue of non-constant acceleration...
Will somebody with more calculus experience help me out? Thanks.
Oh, and the initial conditions are x = 0, and so V(0) = 885.
You can see that I know velocity (V) as a function of displacement (x). Ultimately I want to end up with a function for displacement as a function of time (t). I imagine that somehow a chain rule is used to change the variables, but I'm having trouble figuring it out. The books I have glaze over the issue of non-constant acceleration...
Will somebody with more calculus experience help me out? Thanks.
Oh, and the initial conditions are x = 0, and so V(0) = 885.