AverageRateofChange

# AverageRateofChange - The Concept of AVERAGE RATE OF CHANGE...

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The Concept of AVERAGE RATE OF CHANGE SPEED Suppose we are tracking Barney as he falls from the Sears Tower. To find the average speed Barney is falling over any particular time interval, divide the amount of distance covered during the time interval by the length of the time interval. Since Barney is falling freely near the surface of the earth, then his position can be calculated with the equation y = 16t 2 ft. To find his average speed for the first 10 seconds, we will find y/ t. y x = 16 10 2 16 0 2 10 0 = 1600 0 10 = 160 ft / sec If we want to find Barney's average speed during a 1-second interval between 12 and 13 seconds, then the average speed will have the following form. y x = 16 13 2 16 12 2 13 12 = 2704 2304 1 = 400 ft / sec Suppose we want to find Barney's generic speed as he travels from t 0 to t 0 + h. Barney's average speed will be y x = 16 t 0 h 2 16 t 0 2 t 0 h t 0 = 16 t

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AverageRateofChange - The Concept of AVERAGE RATE OF CHANGE...

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