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PHYS 223-02
Experiment 3
Jasmine Warren, Mia Hardy, Ella Dozer
Introductions and Objectives
For this experiment the objective was to determine acceleration during free fall motion and up and down motion. To start we used a lighter ball about 10 cm below the sensor, started data acquisition on the computer, and dropped the ball multiple times to get some options. We then would copy the results of distances and times into a note and the find the multiple times where the distance was at a min/max. We would copy those times/distances from the min to the max into the program and run to see it plotted. We would try this with our multiple drops to pick the best set of data and then adjust the acceleration if necessary to fit the curve. Once we found our best data set, we would copy that into the table and calculate velocity. We then repeated those steps with a heavier ball. Next, we went back to the lighter ball and repeated those steps but instead we started at the bottom and threw the ball up and then let it fall. We also took note of the accelerations from each setup and the velocity from the up and down motion. We then had to plot distance vs time to find the best fit linear and quadratic coefficient.
Data Sheets and Graphs
Recorded Time t
(s)
Time t
(s)
Distance (cm)
Velocity (cm/s)
1
3.222
0
17.2
0
2
3.277
0.055
22.6
98.182
3
3.332
0.11
24.1
27.273
4
3.387
0.165
32.4
150.909
5
3.443
0.221
44.0
207.143
6
3.561
0.339
78.2
289.831
7
3.620
0.398
98.9
350.847
8
3.680
0.458
122.5
393.333
9
3.741
0.519
132.3
160.656
10
3.803
0.581
132.7
6.452
Table 1:
Data from the light ball during motion down.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0
20
40
60
80
100
120
140
f(x) = 134.18 x² + 154.33 x + 10.72
Time t (s)
Distance (cm)
Graph 1:
Time vs distance for the light ball during motion down.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0
50
100
150
200
250
300
350
400
450
f(x) = 282.3 x + 88.12
Time t (s)
Velocity (cm/s)
Graph 2:
Time vs Velocity for the light ball during motion down.
Recorded Time t
(s)
Time t
(s)
Distance (cm)
Velocity (cm/s)
1
16.775
0
10.2
0
2
16.830
0.055
11.5
23.636
3
16.884
0.109
11.2
-5.556
4
16.938
0.163
12.4
22.222
5
16.993
0.218
16.5
74.545
6
17.048
0.273
21.8
96.364
7
17.113
0.338
204.7
2813.846
8
17.178
0.403
205.1
6.154
Table 2:
Data from the heavy ball during motion down.
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0
50
100
150
200
250
f(x) = 2507.59 x² − 500.54 x + 21.24
Time t (s)
Distance (cm)
Graph 3:
Time vs distance for the heavy ball during motion down.
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
-500
0
500
1000
1500
2000
2500
3000
f(x) = 3004.51 x − 206.6
Time t (s)
Velocity (cm/s)
Graph 4:
Time vs velocity for the heavy ball during motion down.
Recorded Time t
(s)
Time t
(s)
Distance
(cm)
Velocity
(cm/s)
1
24.447
0
92.3
0
2
24.505
0.058
72.8
-336.207
3
24.561
0.114
55.2
-314.286
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