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In this video you will learn how to find the Rate of Change of Weight passing over a pulley with respect to time given the Speed of the Truck moving away from the pulley.

A weight W is attached to a rope 50-foot-long that passes over a pulley at a point P, 20 feet above the ground. The other end of the rope is attached to a truck at a point A, 2 feet above the ground, as shown in the figure below. If the truck moves away at the rate of 9 feet per second, how fast is the weight rising when it is 6 feet above the ground?

0:30 Understanding picture
1:32 Finding missing components
4:10 Finding equation that will be differentiated implicitly
8:46 Differentiating the found equation implicitly
9:14 Using known x'(t), x(t) and y(t) to solve for y'(t)

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