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A ladder of length 5 m is leaning agains...

A ladder of length 5 m is leaning against a wall. The bottom of ladder is being pulled along the ground away from wall at rate of `2cm//sec` . How fast is the top part of ladder sliding on the wall when foot of ladder is 4m away form wall.

Text Solution

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`x^2+y^2=5^2`
`(da)/(dt)=+2cm(s)`
`(dy)/(dt)=?`
`x^2+y^2=5^2`
`when x=4cm`
`y^2=5^2-4^2=9`
`y=3cm`
`(d(x^2+y^2))/dt=(d(5^2))/dt`
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