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How is velocity in this solution dependantdependent on two lengths?

I found a solution for a problem I've been struggling with recently for a scissor lift table horizontal and vertical velocities. This research paper shows that both are dependantdependent on l$l$, S$S$ and h$h$. But the problem is l is a constant since it's the length of a steel bar that is supposed not to change, however the writer derived it first and applied derivative rule as if l was a variable. Does this mean this solution is wrong?

Here it is  :   

suggested Solution of the problem

How is velocity in this solution dependant on two lengths?

I found a solution for a problem I've been struggling with recently for a scissor lift table horizontal and vertical velocities. This research paper shows that both are dependant on l, S and h. But the problem is l is a constant since it's the length of a steel bar that is supposed not to change, however the writer derived it first and applied derivative rule as if l was a variable. Does this mean this solution is wrong?

Here it is  :  suggested Solution of the problem

How is velocity in this solution dependent on two lengths?

I found a solution for a problem I've been struggling with recently for a scissor lift table horizontal and vertical velocities. This research paper shows that both are dependent on $l$, $S$ and $h$. But the problem is l is a constant since it's the length of a steel bar that is supposed not to change, however the writer derived it first and applied derivative rule as if l was a variable. Does this mean this solution is wrong?

Here it is: 

suggested Solution of the problem

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How is velocity in this solution dependant on two lengths?

I found a solution for a problem I've been struggling with recently for a scissor lift table horizontal and vertical velocities. This research paper shows that both are dependant on l, S and h. But the problem is l is a constant since it's the length of a steel bar that is supposed not to change, however the writer derived it first and applied derivative rule as if l was a variable. Does this mean this solution is wrong?

Here it is : suggested Solution of the problem