College Physics

A roofing tile falls from rest off the roof of a building. An observer from across the street notices that it takes 0.35 s for the tile to pass between two windowsills that are 2.45 m apart. How far is the sill of the upper window from the roof of the building?

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  1. Let H be the distance of the sill (base)of the upper window from the roof. The tile passes it in time

    T = sqrt (2H/g)

    You also know that

    T + 0.35 = sqrt [2(H + 2.45)/g]

    Solve those two simulataneous equations for H. T is easily eliminated.

    0.35 = sqrt[2(H + 2.45)/g] - sqrt(2H/g)

    Now solve for H

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