I know the terminal velocity equation as:
I also know that v^2 = u^2 + 2as. Assuming the object's terminal velocity is also its final velocity, and knowing every other variable in this equation except for mass, m, can I equate the two and get an equation for mass at which an object will reach terminal velocity for a certain height, density, drag coefficient? (initial velocity is 0 and the object is dropped strictly downwards with no added forces except for gravity).
i.e., I get (after cancellation):
m = (Cd)Aps
This is the basis of one of my projects (I'm a high school student), and I want to make sure this is correct. Please let me know.