A 5 meter ladder is sliding down a wall. Let h equal the height of the top of the ladder at time t. Let x equal the distance the bottom of the ladder is from the wall at time t. Assume the bottom of the ladder is sliding away from the wall at a constant rate of .6 m/sec. The bottom of the ladder is 1.4m from the wall at time t = 0. Find the downward velocity of the top of the ladder at time t= 1 sec. Hint: first draw a diagram, calculate how far the bottom of the ladder is from the wall after 1 sec. and then the height h of the top of the ladder at this time using the Pythagorean Theorem.

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