Galileo\'s great-great-great grandchild stands at the top of a vertical tower 58
ID: 2131978 • Letter: G
Question
Galileo's great-great-great grandchild stands at the top of a vertical tower 58.6 m tall with a Chianti bottle.
A) How long does it take for the bottle to fall to the ground, if it was just dropped from the tower?
B) What is the velocity of the bottle as it hits the ground, if it was just dropped from the tower?
C)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 14.0 m/s?
D)What is the bottle's horizontal component of velocity, if the bottle was thrown straight out horizontally
from the tower with a speed of 14.0 m/s?
E)What is the magnitude of its velocity just before it strikes the ground, if the bottle was thrown straight
out horizontally from the tower with a speed of 14.0 m/s?
Explanation / Answer
A) How long does it take for the bottle to fall to the ground, if it was just dropped from the tower?
t=sqrt(2h/g)=3.86sec
B) What is the velocity of the bottle as it hits the ground, if it was just dropped from the tower?
v=sqrt2gh=33.9m/s^2
C)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 14.0 m/s?
=14*3.86
=54.04m
D)What is the bottle's horizontal component of velocity, if the bottle was thrown straight out horizontally
from the tower with a speed of 14.0 m/s?
14m/s
E)What is the magnitude of its velocity just before it strikes the ground, if the bottle was thrown straight
out horizontally from the tower with a speed of 14.0 m/s?
v=sqrt(33.9^2 +14^2)=36.67m/s
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.