Force vector on falling object to determine terminal velocity and to graph it

AI Thread Summary
The discussion focuses on calculating the terminal velocity of a falling object using the equation Vt= √(2mg/CρA) and the force equation F=ma. Participants clarify that for part (b), the relevant equation is FR=-kv, rather than the initially used terminal velocity equation. The correct approach for part (c) involves either sketching the graph or calculating its form before drawing. Overall, the conversation emphasizes the importance of using the appropriate equations for each part of the problem. Understanding these concepts is crucial for accurately determining terminal velocity and graphing the results.
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Homework Statement



ScreenShot2011-12-03at11613PM.png

k: constant
v: velocity
m: mass
g: gravity
View attachment qw.pdf

Homework Equations



Vt= √(2mg/CρA)
F=ma

The Attempt at a Solution


part a.
ScreenShot2011-12-03at11640PM.png

View attachment w.pdf
part b.
ScreenShot2011-12-03at11518PM.png

View attachment b.pdf
I do not know if i am doing this right and i do not understand how to do part c. If you know how to do this please explain
 
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Welcome to the forum! You've got part (a) correct.

But for part (b), I don't think the equation Vt= √(2mg/CρA) is relevant. You were explicitly given that FR=-kv, so this is the equation you should be using. In fact, I think you got the answer for (b), before you started using that other equation for the terminal velocity.

Part (c) is a bit trickier. You could either roughly draw what happens, or explicitly calculate the form of the graphs, then draw them.
 
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