The following problems involve average rate of change.
Dropping a Watermelon If a comedian drops a watermelon from a height of 64 ft, then its height (in feet) above the ground is given by the function h(t) = −16t2 + 64 where t is time (in seconds). To get an idea of how fast the watermelon is traveling when it hits the ground find the average rate of change of the height on each of the time intervals [0, 2], [1, 2], [1.9, 2], [1.99, 2], and [1.999, 2],
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