What is the formula for final velocity that has time in it?

AI Thread Summary
The discussion focuses on finding the formula for final velocity that incorporates time. The key equation provided is v = u + at, where v is the final velocity, u is the initial velocity, a is acceleration, and t is time. Another equation mentioned is v^2 = u^2 + 2as, but it does not directly include time. A more complex formulation is also presented, but it ultimately simplifies back to the primary equation. This information is crucial for students preparing for physics exams.
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Hi,

I'm studying for my final exam in Physics tomorrow (doing a review packet) but I keep forgetting the equation/formula needed to find final velocity (not the one with the distance, but the one with time). I don't have most of my notes as my teacher keeps folders of our work and notes at school... and I can't find it on Google.

Please help ASAP it's 11:20 PM here, my eyes are killing me and I want to get an A on the exam...

Thanks in advance.


PS: I think it starts with "vf^2= ... at" ?
 
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There isn't one for v^2 involving t, the equations for the final velocity are

v = u + at

and

v^2 = u^2 + 2as

whereu is the initial velocity and v is the final velocity.
 
Although Vagn is correct, you could say that

{V_f}^2 = {V_i}^2 + 2a \left( \frac{V_i + V_f}{2} \cdot t \right)


but, ultimately, this simplifies to:

V_f = V_i + at
 

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