The ladder
18 May 2011by Djzhing |
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This drawing is one of my bored moments while waiting for a friend and thinking what else to do? Then, I found this problem written in a sheet of paper inserted in my old notebook back in my school days and I wander what the answer could be?...“A ladder 20 ft long is placed against a wall. The foot of a ladder begins to slide away from the wall at the rate of 1 ft/sec. How fast is the top of the ladder sliding down the wall when the foot of the ladder is 12 ft from the wall?”... hmmm?.. Using pythagorean theorem as the equation, solving... It’s -3/4 ft/sec, the top of the ladder’s rate sliding down the wall. It is just one simple example of a time rates problems; another type of problems involving the used of derivatives. In problems involving time rates, first, draw a figure if necessary, then formulate equation, differentiate with respect to time, and substitute the condition instant to the equation but take note: substitute the given values only after differentiating. :)
Enjoy solving...
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