# Calculating the kinetic energy for a glider

The formula to calculate the amount of kinetic energy in an object is as follows;

\[Ek = 0.5\cdot m\cdot v^2\]Whereas;

`Ek`

: Kinetic Energy in Joules

`m`

: mass of the object, in kg

`v`

: The velocity of the object, in m/s

As we’re calculating the kinetic mass based on position reports and we do not know the mass of the aircraft, we’re butchering the formula such that it becomes $\frac {Ek}{m}=\frac {v^2} {2}$. Right now, the value we would be calculating represents the kinetic energy per kg mass.

The data we’re using represents the kinetic energy by two vectors;

- (Forward) velocity
- Climbrate

Adding those will result in the total amount of kinetic energy in the aircraft per unit of mass.