Calculus

To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. How high is the building if the splash is seen 6.7 seconds after the stone is dropped? Use the position function for free-falling objects given below. (Round your answer to one decimal place.)

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  1. The position function for a free fall from rest is:
    x(t)=(1/2)gt²
    In metric units (x in metres, t in seconds),
    x(t)=(1/2)*(-9.8)t²
    =(1/2)(-9.8)6.7²
    =-220 m approx.

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