In Peter Jackson's adaptation of The Two Towers, the wizard Gandalf falls from the Bridge of Khazad-dûm for a total screen time of 71 seconds. Darren wanted to calculate the maximum height the fall could have been and running the numbers concluded that it could be at most 4.94 km from the bridge to the heart of the mountain below. Is Darren's conclusion a fair estimation of the total fall distance?

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Chapter1: Units, Trigonometry. And Vectors
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In Peter Jackson's adaptation of The Two Towers, the wizard Gandalf falls from the Bridge of Khazad-dûm for a total screen time of 71 seconds. Darren wanted to calculate the maximum height the fall could have been and running the numbers concluded that it could be at most 4.94 km from the bridge to the heart of the mountain below.

Is Darren's conclusion a fair estimation of the total fall distance?
Be sure to:
*State your claim with disagreeing with 4.94 km being a reasonable height for the fall.
*Gather evidence from your choice of a combination of your own calculations and observations from the film (lord of the rings -Gandalf vs Balrog entire battle  HD)

 


*Connect your evidence to your claim by reasoning why it supports your claim. Any evidence you share should be directly linked with your reasoning to why or why not 4.94 km or 4,940 m is a reasonable estimate for the falling distance. Use the equation x=vit+1/2at^2 to solve show all calculations and givens.

Givens

x= want

t= 72 sec

vi= 0 m/s

vf= ?

a=g= -9.8 m/s^2

 

Hint:  Does the clip look like it’s in slow motion?  Is this 71 seconds of real people time or film time? Is it the entire fall or did they cut out some of the fall? 

Falling down
How fardid something fall if it takes 5 seconds
from drop to hitting the ground?
g
X = V₁t + ½ at ²
Givens:
x= wast
t = 5 s
V;= 0 m/s
?
Vf=
a=g
-१.४
misa
X = ágť² <
× = 1/2 (-99) (5²)
X
X = 121.5m
To get started, you
really need 3/5
variables to get started
this is the model
equation for
dropped objects
(v₁ - v₁)
t
V₁ = V₁ + at
v² = v7 + 2ax
1
x = v₁t + = at²
(0₁ + 2 ) c
Transcribed Image Text:Falling down How fardid something fall if it takes 5 seconds from drop to hitting the ground? g X = V₁t + ½ at ² Givens: x= wast t = 5 s V;= 0 m/s ? Vf= a=g -१.४ misa X = ágť² < × = 1/2 (-99) (5²) X X = 121.5m To get started, you really need 3/5 variables to get started this is the model equation for dropped objects (v₁ - v₁) t V₁ = V₁ + at v² = v7 + 2ax 1 x = v₁t + = at² (0₁ + 2 ) c
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