BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 10, Problem 1AP
Answer the following questions pertaining to the split times (in seconds) presented below for Ben Johnson and Carl Lewis during the 100-m sprint in the 1988 Olympic Games.
a. Plot velocity and acceleration curves for both sprinters. In what ways are the curves similar and different?
b. What general conclusions can you draw about performance in elite sprinters?
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The following graph is simulated (but realistic) data from a VO₂max trial of a human athlete running (no
gait changes). Estimate and label the following variables:
VO2 (ml/kg/min)
1. VO₂max
2. Incremental cost of locomotion
3. Maximum aerobic speed
4. RMR + postural costs
70
60
50
40
30
20
10
0
2 3
4
5 6
7
8 9 10 11 12 13
MPH
The graphs below show the force-versus-shortening-velocity and power-versus-
shortening-velocity curves for four muscles in the human lower extremity. Note
that these curves show this relationship only for shortening activations (positive
shortening velocities), not lengthening activations. And, note that the values
displayed on the axes of the graphs are absolute (not normalized) values of force,
power, and velocity.
These graphs apply to the next three questions.
Force vs Shortening Velocity
Power vs Shortening Velocity
1,500
400
1,200
300
2 900
200
600
100
300
0.0
0.5
1.0
1.5
2.0
0.0
0.5
1.0
1.5
2.0
Shortening Velocity (m/s)
Shortening Velocity (m/s)
muscle 1
muscle 3
muscle 2
muscle 4
Force (N)
Power (W)
explain how the shortening velocity can be varied from very fast to very slow even though the load on the muscle remains constant
Chapter 10 Solutions
BASIC BIOMECHANICS
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