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Factors Influencing Movement
1. Magnitude of F or T 2. Inertial characteristics of object such as it’s mass, friction factors 3. Pathway available
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Linear Speed Linear Velocity
Scalar quantity how fast only s = d/t Donavan Bailey 100m 9.84 Michael Johnson 200m Vector quantity how fast and in what direction v = d/t stride length x stride frequency
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Stride Length & Stride Frequency changes
with running velocity FIGURE 10-3 on page 324 “Basic Biomechanics” 4th edition by Susan J. Hall
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Page 280 from course text
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Johnson vs Bailey at 5.6 seconds in 150m Match Race: Bailey 25 strides (4.46 strides per sec) Johnson 27 strides (4.48 strides per sec) at 1996 Olympics: Bailey for 100m (avg v = 10.16mps) Johnson 9.22 for 2nd 100m (avg v = 10.84mps) Fastest recorded 10m segment in 100m race is 0.83 seconds giving a velocity of 12.1mps / 43.5km per hr
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Linear Acceleration Vector quantity
changing speed OR changing direction a = (v2 - v1) (t2 - t1) 2 is final and 1 is initial (velocity & time) a is directly related to Force and only occurs when Force is applied or ceases speeding up = + slowing down = -
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Universal Gravitation - Newton
1. Direct relationship between mass of 2 bodies and force of attraction between them 2. Indirect relationship between distance squared between 2 bodies and force of attraction between them 3. Falling bodies “attracted” to the ground by gaining 9.8mps per second 4. Upward projected bodies slow as above
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Zero Velocity Zero Acceleration
Body at rest No motion 1. Body at rest OR 2. Body constant v OR 3. Body not changing direction
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Constant v Terminal v No change rare in sport Figure F.2 page 280
skydiving air = resistive Force g = motive Force F resistive = F motive
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Average v Instantaneous v
usually not a concern in study of motion v = d/t 40-50m in 1.11sec. average v = 9.01mps 1000m in 3:30min. average v = 4.76mps at a given point takeoff release impact Figure F.3 page 281
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INERTIA - Newton’s 1st Law
“resistance then persistence” 1. body at rest remains so until a net Force acts to accelerate the body 2. body moves in the direction of applied constant v until - that Force is changed in magnitude or - a Force from another direction is applied
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Projecting Objects Muscle torques are motive Force Air resistance is a resistive Force gravity resistive Force then motive Force friction may be a resistive Force
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ACCELERATION Newton’s 2nd Law
Inertia = sluggishness/resistance to change Inertia is directly related to mass a = F/m a has a direct relationship with F a has an indirect relationship with m
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F centripetal Reaction
Inward seeking exerted along the path of the radius of the arc Fc = ma (radial) Body wants to continue on original path greater m or v requires greater friction/grip
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Pushing outward to get sufficient inward F centripetal to stay on the desired curved path
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