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Shown below are the data and graphs for three objects dropped off a tall buildin

ID: 2262729 • Letter: S

Question


Shown below are the data and graphs for three objects dropped off a tall building.  Discuss the motion for each object.  Include any relevant details about acceleration and air resistance.


ti   


object 1 position (m)

object 2 position (m)

object 3 position (m)

times(s) 1   

4.9   

2.45   

0.5

2   

19.6   

9.8   

1

3   

44.1   

22.1   

1.5

4   

78.4   

39.2   

2

  

ti   


     

object 1 position (m)

     

object 2 position (m)

     

object 3 position (m)

     

times(s) 1   

     

4.9   

     

2.45   

     

0.5

     

2   

     

19.6   

     

9.8   

     

1

     

3   

     

44.1   

     

22.1   

     

1.5

     

4   

     

78.4   

     

39.2   

     

2

  

Explanation / Answer

Object 1:

No air resistance.

x = (1/2)gt^2 is followed.

acceleration = g = 9.8 m/s^2

Object 2:

x = (1/2)(g/2)t^2 is followed.

acceleration = g/2

Net force = mg -mg/2 = mg/2

Air resistance = mg/2

Object 3:

Moving at constant velocity of 0.5 m/s.

No acceleration.

Net force is zero.

Air resistance = mg

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