PES 1160 Projectile Motion Report
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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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