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Experiment 3 K i n em e m a t ic i c s o f H u m a n M o t io io n
Displacement
x
o
initial position
x
final position
Speed and Veloc ity
A v e r a g e s p e e d is the distance traveled divided by the time
required to cover the distance.
Average speed
Distance Elapsed time
SI units for speed: meters per second (m/s)
Speed and Veloc ity
A v e r a g e v e l o c i t y is the displacement divided by the elapsed
time.
Average velocity
Displaceme nt Elapsed time
x o x v t t t o
x
Acceleration Acceleration = change in velocity over time
DEFINITION OF AVERAGE ACCELERATION
v o v a t t t o
v
E q u a t i o n s o f K i n e m a t i c s f o r C o n s t a n t A c c e l er a t i o n Equations of Kinematics for Constant Acceleration
v vo x v
2
at
vo v t 1 2
vo 2ax 2
x vot at 1 2
2
Freely Falling B od ies
g 9.80 m s
2
Freely Falling B od ies
In the absence of air resistance, it is found that all bodies at the same location above the Earth fall vertically with the same acceleration. If the distance of the fall is small compared to the radius of the Earth, then the acceleration remains essentially constant throughout the descent.
This idealized motion is called free-fall and the acceleration of a freely falling body is called the acceleration due to gravity .
g 9.80 m s
2
or
32.2 ft s
2
Freely Falling B od ies
Kinematics equation for free fall
v0 v y t 2 v v0 y
at
v0t
2
2
1 2
2
at
2
Graphical Analysis •
•
•
Graph can be used to represent and calculate the motion of a body. The slope of a displacement time graph gives the velocity. The slope of a velocity time graph gives the acceleration.
Graphical Analysis •
•
The area under the velocitytime graph gives the displacement. The slope of a velocity time graph gives the acceleration.
Graphical Analysis •
•
The graph of a body moving with constant velocity.
The graph of a stationary body
Graphical Analysis •
•
The graph of an accelerating body.
The graph of a body with constant velocity.
G r ap h i c a l A n a l y s i s o f V el o c i t y a n d A c c e l er a t io n
Slope 4 m s
G r ap h i c a l A n a l y s i s o f V el o c i t y a n d A c c e l er a t io n
G r ap h i c a l A n a l y s i s o f V el o c i t y a n d A c c e l er a t io n
G r ap h i c a l A n a l y s i s o f V el o c i t y a n d A c c e l er a t io n