Vf2=vo2+2a(xf=xo)

The equation you provided represents a kinematic equation known as the equation for final velocity (Vf) given an initial velocity (Vo), acceleration (a), and displacement (xf - xo). This equation is derived from the basic kinematic equation:

Vf^2 = Vo^2 + 2a * (xf - xo)

To use this equation, you need to know the initial velocity (Vo), acceleration (a), and the displacement (xf - xo).

Here's how you can use this equation to find the final velocity (Vf):

1. Identify the given values:
- Initial velocity (Vo): This is the velocity at the starting point.
- Acceleration (a): This is the rate of change of velocity.
- Displacement (xf - xo): The difference in position between the initial and final points.

2. Substitute the known values into the equation:
Vf^2 = Vo^2 + 2a * (xf - xo)

3. Solve the equation for Vf:
To find Vf, take the square root of both sides of the equation: Vf = √(Vo^2 + 2a * (xf - xo))

Remember that the equation represents the final velocity. Make sure to use consistent units for all the values entered in the equation.

By following these steps, you can find the final velocity using the given initial velocity, acceleration, and displacement.