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From 100 to 120 ms, region
C
has the shape of a rectangle with area
2
C
area
(0.0200 s) (50.0 m/s ) = 1.00 m/s.
=
From 110 to 160 ms, region
D
has the shape of a trapezoid with area
2
D
1
(0.0400 s) (50.0
20.0) m/s
1.40 m/s.
2
=+
=
Substituting these values into Eq. 226, with
v
0
=0 then gives
1
0
0 1 50 m/s + 1.00 m/s + 1.40 m/s = 3.90 m/s,
v.
−=+
or
1
390±m/s.
=
65. The key idea here is that the speed of the head (and the torso as well) at any given
time can be calculated by finding the area on the graph of the head’s acceleration versus
time, as shown in Eq. 226:
10
01
area between the acceleration curve
and the time axis, from
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This note was uploaded on 09/03/2009 for the course PHYS 1200 taught by Professor Stoler during the Spring '06 term at Rensselaer Polytechnic Institute.
 Spring '06
 Stoler
 Physics, Acceleration

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