calculus

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use to postion function s(t) = -4.9t^2 + vt + s for free-falling objects

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 6.8 seconds after the stone is dropped?

  • calculus -

    s(6.8) = 0 the ground
    v = initial vertical velocity which is zero (dropped not thrown)

    0 = -4.9 (6.8)^2 + 0 (6.8) + h
    so
    h = 227 meters

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