Question

The end a of a ladder ap of length 5m is kept inclined to a vertical wall is slipping over a horizontal surface with velocity of 2m/s when a is at a distance of 3m from the wall. find the velocity of cm

Answer 1

The length of the ladder is 5m.

In order to find the height of wall when calculated comes to 3.

Through Pythagoras theorem, we come to know that x is 5 and y is 3.  

Now with respect to differentiation, the equation comes to 2x x dx/dt + 2 y dy/dt = 0.

When you substitute x and y, you will know velocity will be 8/3.