The distance, in feet, a stone drops in seconds is given by . The depth of a hole is to be approximated by dropping a rock and listening for it to hit the bottom. Assume that time measurement is accurate to 1/10ths of a second. Use a linear approximation to estimate an upper bound for the propagated error if the measured time is:
At seconds, the propagated error is at most
feet.
At seconds, the propagated error is at most
feet.
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