Energy Transformation equation for a free fall

[jman1114]

One of the discussion questions in a lab I did which was basically a free falling object where the kinetic and potential energies were measured. It asks what is the energy transformation equation for a free fall (1-step transformation).
Is it just:
Total Energy = Potential gravitational energy + Kinetic energy
Et= mgh + mv2/2

Then just cancel out the mass or am I going in the total wrong direction with this?

 

[radou]

Total energy is conserved, which means that mgh + 1/2 mv^2 = C, where C is a constant. Use the equations for h(t) and v(t) for a free fall and plug them into the energy equation to convince yourself that energy is constant for every moment t.