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

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SUMMARY

The formula for final velocity that incorporates time is expressed as V_f = V_i + at, where V_f represents final velocity, V_i is the initial velocity, a is acceleration, and t is time. This equation is essential for solving problems in kinematics, particularly when time is a variable. Additionally, the equation v^2 = u^2 + 2as is relevant but does not directly involve time. Understanding these formulas is crucial for physics students preparing for exams.

PREREQUISITES
  • Basic understanding of kinematics
  • Familiarity with the concepts of velocity and acceleration
  • Knowledge of algebraic manipulation of equations
  • Experience with solving physics problems involving motion
NEXT STEPS
  • Review kinematic equations in physics textbooks
  • Practice solving problems using V_f = V_i + at
  • Explore the derivation of kinematic equations
  • Study graphical representations of motion and their relation to equations
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Students studying physics, particularly those preparing for exams in kinematics, as well as educators looking for clear explanations of motion equations.

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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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