PES 1160 Projectile Motion Report
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Chemistry
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Feb 20, 2024
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University of Colorado – Colorado Springs
Projectile Motion
Name: Braden Baker
Objective
This lab’s goal is to represent and experiment with two-dimensional kinematics. To create data, a ball was launched with various equipment present to assist in creating comparisons to the ball’s time of flight and the range it travels, depending on the angle of launch.
Projectile Motion Data
1.)
Include all needed data from capstone file.
2.)
Measure value for the initial launch height (y
o
).
0.06 – 0.01
y
o
0.05m
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I
Calculations and Analysis
Projectile Motion Launch Data.
1.)
Complete the table.
Angl
e (
)
Experimental
Theoretical
Initial Velocity
(m/s)
Time of Flight
(s)
Range (m)
Calculated
Time of Flight
(s)
Calculated
Range (m)
10
4.11
0.18
0.76
0.197
0.797
20
4.11
0.31
1.26
0.319
1.23
25
4.11
0.37
1.41 0.381
1.419
30
4.09
0.44
1.56
0.44
1.558
35
4.07
0.49
1.61
0.497
1.657
40
4.07
0.55
1.68
0.552
1.721
45
4.06
0.59
1.69
0.602
1.728
50
4.04
0.65
1.64
0.647
1.680
55
4.05
0.69
1.56
0.691
1.605
60
4.03
0.73
1.48
0.726
1.463
2.)
Show at least one example of your calculated Time of Flight and Range values. (Use your results from Prelab question #3)
At angle 10:
t= [-(3.4)sin(10)+ √ (3.4sin10)^2 - 4(1/2)(-9.81)(.078)]/-9.81 = 0.170999 x= 3.4cos(10)(0.170999) = 0.573
3.)
Fill in the blanks of the general kinematic equations with the coefficients you measured for each angle.
Projectile Motion - 2
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I
Angle = 30
o
x(t) = cos(30)(4.09)t
v
x
(t) = cos(30)(4.09)
a
x
(t) = 0
y(t) = 0.05 + sin(30)(4.09)t + -
0.5gt
2
v
y
(t) = sin(30)(4.09)t -gt
a
y
(t) = -g
Angle = 45
o
x(t) = cos(45)(4.06)t
v
x
(t) = cos(45)(4.06)
a
x
(t) = 0
y(t) = 0.05 + sin(45)(4.06)t + -
0.5gt
2
v
y
(t) = sin(45)(4.06) - gt
a
y
(t) = -g
Angle = 60
o
x(t) = cos(60)(4.03)t
v
x
(t) = cos(60)(4.03)
a
x
(t) = 0
y(t) = 0.05 + sin(60)(4.03)t +-
0.5gt
2
v
y
(t) = sin(60)(4.03) - gt
a
y
(t) = -g
Part II: Plotting results
1.)
Plot the experimental and the theoretical Time of Flight vs. the launch angle.
Projectile Motion - 3
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P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I
Y = 0.1x +0.2
a.
Using the graph above classify the validity of your experiment?
General consistency between the experimental and theoretical values.
Describe areas of discrepancy.
Both lines generally follow the same consistency and pattern, however the calculated, theoretical values are more linear than the tested experimental values, most likely due to errors regarding the equipment’s ability to perfectly yield results each test.
Projectile Motion - 4
Title: Experimental and Theoretical Flight Time to Launch Angle
0
Flight time, seconds
An
gle,
De
gre
es
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I
2.)
Plot the experimental Range and the theoretical Range vs. the launch angle.
Y = 0.4x + 0.8
a.
Using the graph above how would you classify the validity of the experiment?
General consistency between experimental and theoretical values.
Explain areas of discrepancy.
Both lines follow the same general path, with a few discrepancies near the end, most likely due to an inaccurate measurement of where the ball precisely landed.
Projectile Motion - 5
Title: Theoretical and Experimental Range to Launch Angle
0
Range, Meters
An
gle,
De
gre
es
P E S 1 1 6 0 - A D V A N C E D P H Y S I C S L A B I
Conclusion (It’s up to you to fill this one out.)
This experiment proved theoretical relationships between angle, velocity, time of flight, and range of a metal ball launched in the air. Data proved fairly accurate, even considering the inaccuracy of certain measurements, such as distance travelled. The approximate angle to reach a maximum range was around 40 degrees.
Projectile Motion - 6
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