Lab 3 Projectile Motion
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School
Northwest Vista College *
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Course
1101
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
3
Uploaded by SuperHumanCamel4150
Analysis of Projectile Motion Lab Online
Table 1: Even Plane Height (
y
=
0
)
(20 points)
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
Δx
17.6
19.9
21.6
22.6
22.9
22.6
21.6
19.9
17.6
14.7
11.
5
7.84
3.98
Time of flight for 45
0
: 2.16 s
1.
Using Excel or some other graphing software, Graph Range vs. Initial Launch Angle. Is the graph symmetric? NO If so, where is the axis of symmetry? NO Turn this graph in with your lab worksheet. (10 points) 20
30
40
50
60
70
80
90
0
5
10
15
20
25
Range vs. Intial Launch Angle
Intial Launch Angle (degrees)
Range (m)
2.
Using the equation y
=
y
i
+
v
iy
t
−
1
2
gt
2
calculate the time of flight for the initial launch angle of 45
o
. (5 points)
3.98 = (17.6)(sin(45))t -
1
2
(9.80)(2.16)^2
26.8 = 12.45t
t = 2.15 s
3.
Using equation Δx
=
v
ix
t
calculate the theoretical range for your projectile with the initial
launch angle of 45
o
. (5 points)
Δx
= (17.6)(cos45)(2.16) = 26.9 m
1
4.
Calculate the % error between your measured range, and your theoretical range for the initial launch angle of 45
o
. (5 points)
Measured value - true value/true value * 100
26.9 m – 22.9 m /22.9 * 100 = 17.5%
5.
Do the results of our experiment confirm theoretical predictions? Defend your answer. (10 points)
The results do not confirm the theoretical predictions due to the 17.5% error. This error is likely caused by recording the wrong “t” from the simulation.
Table 2: Uneven surface (20 points) Initial Height: y
i
=
10
m
0
0
5
0
10
0
15
0
20
0
25
0
30
0
35
0
40
0
∆ x
17.1
18.4
19.6
20.6
21.5
22.1
22.5
22.5
22.2
45
0
50
0
55
0
60
0
65
0
70
0
75
0
80
0
85
0
∆ x
21.5
20.4
18.9
17.0
14.8
12.2
9.43
6.4
3.24
Time of flight for 45
0
: 2.53 s
6.
Using Excel or some other graphing software, Graph Range vs. Initial Launch Angle. Is the graph symmetric? NO If so, where is the axis of symmetry? NO Turn this graph in with your lab worksheet. (10 points) 0
10
20
30
40
50
60
70
80
90
0
5
10
15
20
25
Range vs. Initial Launch Angle
Intial Launch Angle (degrees)
Range (m)
2
7.
Using the equation y
=
y
i
+
v
iy
t
−
1
2
gt
2
calculate the time of flight for the initial launch angle of 45
o
. (5 points)
0 = 10 + (21.5)(sin45)t - 1
2
(9.80)t^2
0 = 10 + 15.2t – 4.90t^2
Quadratic formula: A = -4.90, B = 15.2, C = 10
t = 3.17 s
8.
Using equation Δx
=
v
ix
t
calculate the theoretical range for your projectile with the initial
launch angle of 45
o
. (5 points)
9.
Δx
= (17.1)(cos45)(2.53) = 30.6 m
10. Calculate the % error between your measured range, and your theoretical range for the initial launch angle of 45
o
. (5 points)
Measured value - true value/true value * 100
30.6 m – 21.5 m /21.5 * 100 = 42.3%
3
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