Calculate the terminal velocity from a displacement-time graph?

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
5 replies · 10K views
fickle
Messages
19
Reaction score
0
Hi

Can someone please explain how I can calculate the terminal velocity from a displacement-time graph? I'm only finding solutions to velocity-time graphs, but that's not what I need.

Thanks in advance.
 
Physics news on Phys.org
EDIT:removed... too much explaining
 
Last edited:
I understand terminal velocity to be the velocity reached by a falling body when it experiences zero acceleration... All I have is the displacement and time to work with and I know that the gradient of the graph will give me the velocity. I'm just confused if the value I'll get for the gradient is actually the terminal velocity I'm being asked for or not. When I've looked this up, I'm seeing other things about the mass, drag, density, etc. to get the terminal velocity. Since I wasn't given these values I'm thinking the most logical thing is to find the gradient, but this may be wrong. Any help would be really appreciated here.
 
You know that terminal velocity is the maximum speed and it is constant. You know that velocity is the gradient. So why don't you try the maximum gradient that is constant.
 
While accelerating, displacement is quadratic, velocity is linear, and acceleration is constant. At terminal velocity, displacement is linear, velocity is constant, and acceleration is zero. Find the slope where the graph becomes linear