Fall2023 Projectile Motion Lab Online-1 (1)
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University of Texas, San Antonio *
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1943
Subject
Mathematics
Date
Apr 3, 2024
Type
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3
Uploaded by ChefCapybaraPerson2103
Analysis of Projectile Motion Lab Online
Name________Rachel Julius______________________________________
Course/Section___013____________________________________
Instructor_________Dale Bobar___________________________________
Table 1: Even Plane
Height
(20 points)
(? = 0)
25
o
30
o
35
o
40
o
45
o
50
o
55
o
60
o
65
o
70
o
75
o
80
o
85
o
Δ?
17.5
7
19.8
6
21.5
5
22.5
9
22.9
4
22.5
9
21.5
5
19.8
6
17.5
7
14.
74
11.
47
7.84
3.98
Time of flight for 45
0
:____2.16s_______
1.
Using Excel or some other graphing software, Graph Range vs. Initial Launch Angle. Is
the graph symmetric? If so, where is the axis of symmetry? Turn this graph in with your
lab worksheet. (10 points)
The graph is symmetric because of the angle 45
2.
Using the equation
calculate the time of flight for the initial
? = ?
𝑖
+ 𝑣
𝑖?
𝑡 −
1
2
𝑔𝑡
2
launch angle of 45
o
. (5 points)
=Vsin(theta)=15sin(45)=10.61
=0 + 10.16-½(9.81)t
=
2.16s
^2
3.
Using equation
calculate the theoretical range for your projectile with the
Δ? = 𝑣
𝑖?
𝑡 initial launch angle of 45
o
. (5 points)
ixt
∆? = 𝑉
∆?
=
10. 61(2. 16) = 22. 92𝑚
4.
Calculate the % error between your measured range, and your theoretical range for the
initial launch angle of 45
o
. (5 points)
22.92−22.95
22.92
* 100 = 0. 08726%
1
5.
Do the results of our experiment confirm theoretical predictions? Defend your answer.
(10 points)
The results confirm the prediction. This is clear because the percent error is less than
one percent. The percent error indicates that the experimental value and the accepted
values are very close. There is little to no error in the lab so it was a success.
Table 2: Uneven surface (20 points)
Initial Height:
?
𝑖
= 10𝑚
0
0
5
0
10
0
15
0
20
0
25
0
30
0
35
0
40
0
∆?
17.13
18.39
19.57
20.62
21.5
22.14
22.5
22.54
22.21
45
0
50
0
55
0
60
0
65
0
70
0
75
0
80
0
85
0
∆?
21.5
20.4
18.9
17.02
14.79
12.24
9.43
6.4
3.24
Time of flight for 45
0
:_2.53s_____
6.
Using Excel or some other graphing software, Graph Range vs. Initial Launch Angle.
Is
the graph symmetric? If so, where is the axis of symmetry?
Turn this graph in with your lab
worksheet. (10 points)
The graph is not symmetric.
7.
Using the equation
calculate the time of flight for the initial
? = ?
𝑖
+ 𝑣
𝑖?
𝑡 −
1
2
𝑔𝑡
2
launch angle of 45
o
. (5 points)
2
=Vsin(theta) = 12sin(45
= 8.49
◦
)
=10 +8.49t-
1/2(9. 81)𝑡
2
t=2.53s
8.
Using equation
calculate the theoretical range for your projectile with the
Δ? = 𝑣
𝑖?
𝑡 initial launch angle of 45
o
. (5 points)
∆? = 8. 49(2. 53) = 21. 48
9.
Calculate the % error between your measured range, and your theoretical range for the
initial launch angle of 45
o
. (5 points)
%
%𝑒𝑟𝑟𝑜𝑟 =
21.48−21.5
21.48
* 100 = 0. 09311
3
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