Physics 2211A
Quiz # 1 Form 800
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Fall 2006
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•
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Form #800 Page 1 of 7
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I.
(15 points) The ball in Times Square begins to fall at 11:59 PM, and is supposed to
drop steadily over 30 m, landing at exactly 12:00. At 11:59:25.00 the cable holding
the ball snaps.
a
) (6 points) How far above the ground is the ball when the cable snaps?
Using a motion diagram or graph here is helpful: the ball falls 30
m
in 60
s
at a constant rate. Choose a point on the graph or diagram to see that
this occurs at (35
/
60)
·
30 = 17
.
5 m above the ground.
Or, solve for
v
0
and calculate distance as
y
1
=
v
·
Δ
t
, then subtract from
total height:
30 m
0 m
0 s
60 s
5 s
1 s
after
before
v
0
= 30
/
60 = 0
.
5m
/
s
y
1
= 0
.
5
×
25 = 12
.
5m
y
2
= 30

12
.
5 = 17
.
5m
b
) (9 points) How much earlier does the New Year begin, according to when the ball
hits the ground?
The ball is in freefall from a height of
y
0
= 17
.
5 m, with an initial velocity
of
v
0
= 0
.
5 m/s
Δ
y
=
v
0
t
+
1
2
at
2
Rearranging and plugging in:
(0
.
5)
t
+ (4
.
9)
t
2

17
.
5 = 0
t
=

b
±
√
b
2

4
ac
2
a
=

(0
.
5)
±
radicalbig
(0
.
5)
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 Spring '07
 Wood
 Physics, Acceleration, ball, test form number

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