Does the work done in raising a box on a platform depend upon how fast it is raised up? If not, why?

Explanation

We know that: `W = FH `
Using relation, `v^2 - u^2 = - 2 gh`
Here H = Height to which box is raised
`u = 0`
So, `H = (v^2)/(2g)`
Now, `W = (F xx v^2)/(2g) implies W prop v^2`
So work done in raising a box on the platform depends upon how fast it is raised.