Free Fall Velocities
Objective:
To examine the principles of uniform acceleration in one dimension by systematic
measurements of a falling body's position and instantaneous velocity.
We are testing
Theory:
We are testing for the value of the constant acceleration of gravity by recording the time it
takes for a object to fall a measured distance.
This lab tests the theory that the average velocity is equal to the instantaneous velocity at the midpoint
(with regards to time) between two points.
Theoretically, this holds true.
Equations 8, 9, and 10 relate
the distance traveled over the time traveled, giving vbar (the average velocity for the given time
interval).
Equation 11 gives the instantaneous velocity at the midpoint (again, with regards to time).
Plugging in the values of Equations 9 and 10 into Equation 8 , we get Equation 12.
The simplified
value of this Equation, which represents the average velocity over the given time interval is equal to the
instantaneous velocity expressed in Equation 11.
Thus, on paper, the instantaneous velocity at the time
midpoint is equal to the average velocity over the entire distance.
What's left is to test it out.
Method:
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 Spring '07
 Cutts
 Physics, Acceleration, General Relativity, Velocity, Standard gravity, Fundamental physics concepts

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