Falling Roof Tile Physics?
A roof tile falls from rest from the top of a building. An observer inside the building notices that it takes 0.212293098415273 seconds for the tile to pass her window. The window has a height of 1.55 meters. How far above the top of this window is the roof?
- WhomeLv 74 weeks agoFavourite answer
That is an incredibly precise time measurement. Let's just assume it's only as good as the three significant digits of the window height measurement and use gravity to 3 s.d. as well.
The average speed in the window view is
v(avg) = 1.55 / 0.212 = 7.31 m/s
The speed at the top of the window is
v = 7.31 - 9.81(0.212 / 2) = 6.27 m/s
The tile will reach this velocity from rest in a distance of
h = v²/2g = 6.27²/(2(9.81) = 2.0046... 2.00 m above the top of the window.
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