PHY 151 Lab 4 M4 Projectile Motion
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School
University at Buffalo *
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Course
151
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
4
Uploaded by ChancellorYak3745
Joshua Cosmiano
PHY 151 Lab 4 M4 Projectile Motion
VI-1
D(cm)
h(cm)
h/D
25
0.1
0.004
25
0.3
0.012
25
0.1
0.004
25
0
0
25
0.4
0.016
30
1.2
0.04
30
1.5
0.05
30
3
0.1
30
2.5
0.083333333
30
1.2
0.04
35
5.8
0.165714286
35
5.2
0.148571429
35
4.9
0.14
35
5.8
0.165714286
35
6.2
0.177142857
40
11.6
0.29
40
11.2
0.28
40
12.1
0.3025
40
10.8
0.27
40
10.5
0.2625
45
18.7
0.415555556
45
19.1
0.424444444
45
19.5
0.433333333
45
18.3
0.406666667
45
19.1
0.424444444
50
26.3
0.526
50
28.1
0.562
50
28.5
0.57
50
28.3
0.566
50
28.6
0.572
55
35.6
0.647272727
55
35.2
0.64
55
36.1
0.656363636
55
35
0.636363636
55
35.9
0.652727273
60
40.1
0.668333333
60
40.5
0.675
60
41
0.683333333
60
39.8
0.663333333
60
40.2
0.67
VI-2
VI-3
Using LINEST we found the slope was 0.02122
We were also able to find the y-intercept which is -0.55071
y = 0.02122x -
0.55071
The uncertainty of the slope and y-intercept was found with LINEST
Uncertainty of slope = 0.000507
Uncertainty of y-intercept = 0.022321
The measured angle of the slope we found to be (28 + 26 + 31) / 3 = 28.3 degrees
The calculated angle of the values was found using the equation b = -tanӨ
It equated to 28.8 degrees
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VI-4
The uncertainty of the Өe and Өm was found with the equations 0.022321/(1+(-0.55071)^2
With that value, I multiplied by 180/π to convert from radians to degrees and found the value of
σӨe = +- 0.98129
Using (31 - 26) / 2… σӨm = +- 2.5
Using the equation
S = g / (2Vo^2cos^2Ө) the values of…
VoӨe = 173.38 cm/s
And
VoӨm = 172.589 cm/s
(see calculation sheet for calculations)
VI-5
The equation
gave me the accepted value of 180.739 cm/s
(10(980)(30))/9
VI-6
VoӨe = 173.38 cm/s +- 2.639
And
VoӨm = 172.589 cm/s +- 2.627
The difference between the accepted value and the one I calculated was close but slightly off. I
suppose this is due to human error when measuring the different heights. There were a lot of
places where we could’ve messed up with measuring which is why the values arent completely
the same.