Or can I take the derivative with respect to position rather than time?
For example:
d/dx [v(X)] = d/dx [C|x|]
I'm just not confident in doing so for some reason. Just because everything is usually taken with respect to time.
Well acceleration is dv/dt. But since the velocity given is a function of position would it be equivalent? Setup the equation as v(X) = dv/dt?
Giving me v(X)dt = dv, then integrate with tfand t0 as the limits?
Homework Statement
In your design of an experimental spring powered model car, you note that the speed of
the car (mass Mc) increases as the car travels further. The exact relationship is that v(x) =
C|x|, where C is a constant and x is the position of the car with respect to the starting...