Problem

If a stone dropped into an abandoned mine shaft hits the bottom in t seconds, the depth...

If a stone dropped into an abandoned mine shaft hits the bottom in t seconds, the depth of the shaft is

D(t) = 16t2 feet.

For a time of 2.5 seconds with an error of ±0.1 second, find the error and the relative error in the claim that the mine shaft is 100 feet deep.

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