Cheerleading Basket Toss

(Nina Cataldo, Marianne Grima, Alex Smith)

Original Video (250 frames per second):



Tracker Video:

Stomach (on the way up):

Position Graph 


    As the yellow line rises, the distance covered continiously increases until she reaches the peak where she momentarily stops. This is beacuse gravity constantly exerts a downward force of 9.8 m/s/s.       

Velocity Graph
Marianne's velocity rises continuously but not at a constant rate, and then slowly decreases as Marianne rises into the air. Once she is thrown up into the air, Marianne's stomach moves upwards at a fairly constant velocity of .416 m/s. This can be derived from the following eqaution:
                        v=d/t        v=2.5m/6 s        v=.416m/s
 

Acceleration Graph
 
The acceleration decreases from the initial "toss" until the catch where the acceleration stops completely. We can prove this because the slope of the velocity graph is equal to the acceleration.

Stomach (on the way down):

Position Graph 
    After Marianne reaches the peak of the toss, she is stopped completely in the air for a second. When she is coming down, Marianne's stomach maintains an average velocity of .875 m/s.
            v=d/t        v=3.5m/4s    v=.875m/s

Velocity Graph 
The velocity of the stomach decreases during the catch as it slows down, comes to a stop, and then increases. We see this represented in the graph when the yellow points slope downward and then rises again.

Acceleration Graph 
The acceleration of Marianne's stomach rises continuously but not at a constant rate.

"Seat" (on the way up):

Position Graph 


    
Once she is in the air, Marianne's "seat" moves upwards at a fairly constant velocity of .6 m/s. 
                         
v=d/t        v=2.4m/4s    v=.6 m/s

Velocity Graph 
The velocity of the seat decreases on the way up, at the peak Marianne comes to a complete stop, and the velocity increases on the way down due to gravity.

Acceleration Graph 
The acceleration of Marianne's seat decreased after the toss reached its peak.

"Seat" (on the way down):

Position Graph 
When she is coming down, Marianne's "seat" maintains an average velocity of .56 m/s.
        v=d/t        v=2.8m/5s        v=.56m/s


Velocity Graph 
The velocity of the seat decreases after the toss an into the catch. It slows down during the catch, stops, and then increases slowly.

Hands (on the way up):

Position Graph

The position of the hands on the way up increases as a continious rate until it reaches the peak. Like the stomach, it stops at the peak and falls.

Velocity Graph
The velocity of the hands stays at a decreasing rate during the toss. They start out faster at the beginning of the toss and slow down towards the peak.


Acceleration Graph

Because Marianne must move her hands during the toss,  the hand's acceleration is not in direct correlation to the acceleration of the toss.

Feet (on the way up):

Position Graph
The distance of the feet from the ground to the peak of the toss rises at a continiously and almost constant rate.
Velocity Graph
The velocity of the stomach decreases during the catch as it slows down, comes to a stop, and then increases. We see this represented in the graph when the yellow points slope downward and then rises again.


Acceleration Graph

The acceleration of the feet follows the same pattern as the stomach and hands. The acceleration decreases as Marianne gets higher in the air until she momentarily makes a complete stop.


ċ
Falconphysics-Pom4755.trk
(358k)
Steve Dickie,
Oct 26, 2009, 8:19 PM
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