Douglass Houghton Workshop, Section 2, Tue 11/1/11
Worksheet Koala
1. We still have this 1
/z
scale model of the White House,
which we plan on blowing up. We want to decide what
speed to run the film at, so that when we slow it down
to 24 frames per second, we get a realistic explosion.
(a) Near the surface of the earth, the force of gravity makes falling objects accelerate
downward at the constant rate of 32 ft/sec
2
. What, therefore, is
v
(
t
), the velocity
of a falling object
t
seconds after it is dropped? Note
v
′
(
t
) is acceleration.
(b) What, then, is
h
(
t
), the height of an object
t
seconds after it is dropped from a
height
H
? Note
h
′
(
t
) is velocity and
h
(0) =
H
.
(c) How long does it take an object to fall from the top of the real White House,
which is 70 ft high? So how many frames should we
show
for the fall?
(d) How long does it take an object to fall from the top of the model?
(e) How many frames per second should you film at?
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 Winter '08
 Conger
 Derivative, White House, Real White House, Douglass Houghton Workshop, partially clogged artery

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