Galileo\'s great-great-great grandchild stands at the top of a vertical tower 54
ID: 1328576 • Letter: G
Question
Galileo's great-great-great grandchild stands at the top of a vertical tower 54.0m tall with a Chianti bottle.
How long does it take for the bottle to fall to the ground, if it was just dropped from the tower?
What is the velocity of the bottle as it hits the ground, if it was just dropped from the tower?
How far does the bottle land from a point on the ground directly beneath the point from which it was launched, if the bottle was thrown straight out horizontally from the tower with a speed of 13.9m/s?
What is the bottle's horizontal component of velocity, if the bottle was thrown straight out horizontally from the tower with a speed of 13.9m/s?
What is the magnitude of its velocity just before it strikes the ground, if that bottle was thrown straight out horizontally from the tower with a speed of 13.9m/s?
Explanation / Answer
a. use H = 0.5 gt^2
t^2 = 2H/g
t^2 = (2* 54)/9.8
t = 3.31 secs
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V = gt
V = 3.31* 9.8
V = 32.5 m/s
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S = 0.5 at^2
S = ut - 0.5 gt^2
S = (13.9 * 3.31 ) -(0.5* 9.8 * 3.31* 3.31)
S = 7.67 m
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V^2 = (13.9*13.9) + (2 * 9.8 * 7.67)
V = 18.53 m/s
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