FREE FALL
This material is encountered if you enrolled in engineering or college level
courses. High School Physics (Blackwood Herron Kelly) has some coverage.
See College Physics by Sears and Zemansky on freely falling bodies or a
similar text and topic.
Acceleration of gravity g = 32 ft/(sec * sec)
Velocity v feet/sec = g * Time t sec
Initial condition, at time = 0, Velocity vo = 0
Distance traveled d = vo + (1/2) * g * t * t feet
The free fall distanced traveled if vo = 0 is
d = (1/2) * g * t * t feet
The time to drop distance t = ((2 * d) / g )^(1/2) sec
The velocity at drop of d = ( 2 * g * d )^(1/2) feet/sec
Lets drop 10,000 feet and find the velocity v
v = ( 2 * 32 )^(.5) * (10000)^(.5)
= (64)^(.5) * (100 * 100)^(.5)
= ( 8 * 8 )^(.5) * 100
= 800 ft/sec
So after droping 10,000 feet we are at 800 ft/sec, if dropped
from 10,800 feet you might say we have 1 sec before hitting the
ground, but you would be wrong.
How long to drop 10,000 feet is
t = ((2 * d) / g)^(.5)
= ( 4 * d / 64)^(.5)
= (1/8) * (4 * d)^(.5)
= (1/4) * (100 * 100)^(.5)
= (1/4) * 100
= 25 sec
to drop 10,800 feet
t = (1/4) * (10800)^(.5)
= (1/4) * 103.923
= 25.98 sec
but not far off.
NEXT: THE BOMBING RUN IN A B17 TO B52
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