ladder sliding

(We regard UP as being the POSITIVe direction.)

Now the relation between x and y is:

x2 + y2 = 202

Differentiating throughout with respect to time (since the value of x and y depends on t):



That is:


Now, we know


and we need to know the horizontal velocity (`dx/(dt)`) when

`x = 16`.

The only other unknown is y, which we obtain using Pythagoras' Theorem:





`(dx)/(dt)=3\ "ms"^-1`.

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