1. Acceleration Lab
The purpose of this lab was to determine the relationship between distance, time, and velocity of an object that is accelerating uniformly due to gravity.

2. Background Where: v = velocity x = displacement t = time elapsed
a = acceleration
Then
v = x/t
a = v/t

3. Procedure
1.) Measure the total time for the marble to roll down distances increasing by 5 cm intervals.
(pulse mode)
2.) Measure the diameter of the marble.
3.) Measure the eclipse time of the ball’s diameter after rolling down the 5 cm increasing distances. (gate mode)
4.) Calculate average speeds and final speeds for the ball. vav = x/ttotal; vf = Dball/teclipse
5.) graph x vs t, vf vs t, vf vs vav, vf vs x

4. Graph Requirements Axes: measured / straight edge used / not truncated
Title/ axis labels (descriptive & units)
~ ½ page
Best fit line

5. Data Table 5.0 cm I I I I I 10.0 cm I I I I I 15.0 cm I I I I I
DISTANCE (cm) TOTAL TIME (s) AVG. VELOCITY (cm/s) ECLIPSE TIME (s) END VELOCITY (cm/s)
5.0 cm I I I I I
10.0 cm I I I I I
15.0 cm I I I I I
20.0 cm I I I I I
30.0 cm I I I I I
40.0 cm I I I I I
. I I I I I
110.0 cm I I I I I

6. Graphs
Please sketch a small prediction of what the following graphs will look like.
total time vs. average velocity (tT vs. vav)
distance traveled vs. average velocity (x vs. vav)
total time vs. distance traveled (tT vs x)
average velocity vs. end velocity (vav vs. vinst)

7. Acceleration Competition Lab
Purpose: (Part 1) In this lab activity we timed a ball rolling down an angled ramp to determine the uniform acceleration of the ball down the ramp.
(Part 2) We used the result from part 1 to predict the eclipse time of the ball passing through a photogate from an assigned distance.

8. Background: For a uniformly accelerating object:
Where:
xi = initial position
xf = final position
vi = initial velocity
vf = final velocity
vav = average velocity
a = acceleration
t = time elapsed
And:
vav = (xf-xi)/t
a = (vf-vi)/t
vav = (1/2)(vf + vf)