1. For which angle is the height H of the projectile maximum? 2. Determine maximum Range from R vs 0 graph. Untitled Graph desmos Log in or Sign Up 30 + 25 17.57 (45, 22.94) 35 21.55 Range R (m) = y (35, 21.55) 45 22.94 (55, 21.55) 55 21.55 20 65 17.57 75 11.47 (25, 17.57) (65, 17.57) 85 3.98 90 (75, 11.47) 10 Y2- mx, +c (85, 3.98) STATISTICS 0 RESIDUALS RMSE =0 (90, 0) PARAMETERS O -40 -20 20 40 60 80 100 120 2=2 * = 1 C=1 Launch Angle Theta (degrees) = x (100,–2) abel: Launch Angle Thata (degrees) = x -10 For which angle is the range R of the projectile greatest? (Well, this one cannot be answered in a single sentence in case you're wondering) 3. For which angle is the flight time Trof the projectile greatest? 4. Will the angle at which the projectile has the maximum height change with velocity? 5. Will the mass of the projectile have any effect on the maximum height reached, provided the initial velocity remains constant?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter9: Relativity
Section: Chapter Questions
Problem 6CQ
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Launch
Launch
Time taken to reach Max.
Range
R (m)
Flight Time
Tr(s)
Мах. Нeight
H (m)
Height
Tn (s)
Speed
Angle
Vx(m/s) 0 (degrees)
15
25
17.57
1.29
2.05
0.65
15
35
21.55
1.75
3.77
0.88
15
45
22.94
2.16
5.73
1.08
15
55
21.55
2.51
7.69
1.25
15
65
17.57
2.77
9.42
1.39
15
75
11.47
2.95
10.7
1.48
15
85
3.98
3.05
11.38
1.52
15
90
3.06
11.47
1.53
Transcribed Image Text:Launch Launch Time taken to reach Max. Range R (m) Flight Time Tr(s) Мах. Нeight H (m) Height Tn (s) Speed Angle Vx(m/s) 0 (degrees) 15 25 17.57 1.29 2.05 0.65 15 35 21.55 1.75 3.77 0.88 15 45 22.94 2.16 5.73 1.08 15 55 21.55 2.51 7.69 1.25 15 65 17.57 2.77 9.42 1.39 15 75 11.47 2.95 10.7 1.48 15 85 3.98 3.05 11.38 1.52 15 90 3.06 11.47 1.53
1. For which angle is the height H of the projectile maximum?
2. Determine maximum Range from R vs 0 graph.
= Untitled Graph
desmos
Log in or Sign Up
30
25
17.57
(45, 22.94)
35
21.55
(35, 21.55)
45
22.94
Range R (m) = y
(55, 21.55)
55
21.55
20
65
17.57
75
11.47
(25, 17.57)
(65, 17.57)
85
3.98
90
(75, 11.47)
10
Y2- mx, + c
(85, 3.98)
STATISTICS 0
RESIDUALS
RMSE =0
(90, 0)
PARAMETERS O
-40
20
40
100
-20
60
80
120
Y =2
X, =1
m=1
Launch Angle Theta (degrees) = x
c=1
(100,–2)
abel: Launch Angle Thata (degraes) = x
-10-
For which angle is the range R of the projectile greatest? (Well, this one cannot be answered in a single
sentence in case you're wondering)
3. For which angle is the flight time Trof the projectile greatest?
4. Will the angle at which the projectile has the maximum height change with velocity?
5. Will the mass of the projectile have any effect on the maximum height reached, provided the
initial velocity remains constant?
Transcribed Image Text:1. For which angle is the height H of the projectile maximum? 2. Determine maximum Range from R vs 0 graph. = Untitled Graph desmos Log in or Sign Up 30 25 17.57 (45, 22.94) 35 21.55 (35, 21.55) 45 22.94 Range R (m) = y (55, 21.55) 55 21.55 20 65 17.57 75 11.47 (25, 17.57) (65, 17.57) 85 3.98 90 (75, 11.47) 10 Y2- mx, + c (85, 3.98) STATISTICS 0 RESIDUALS RMSE =0 (90, 0) PARAMETERS O -40 20 40 100 -20 60 80 120 Y =2 X, =1 m=1 Launch Angle Theta (degrees) = x c=1 (100,–2) abel: Launch Angle Thata (degraes) = x -10- For which angle is the range R of the projectile greatest? (Well, this one cannot be answered in a single sentence in case you're wondering) 3. For which angle is the flight time Trof the projectile greatest? 4. Will the angle at which the projectile has the maximum height change with velocity? 5. Will the mass of the projectile have any effect on the maximum height reached, provided the initial velocity remains constant?
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