What is the slope of the plot of R vs. sin 2α? What is the value of the acceleration due to gravity calculated from the slope? (Show your solution.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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What is the slope of the plot of R vs. sin 2α? What is the value of the acceleration due to gravity calculated from the slope? (Show your solution.)

Table 1. Range and height for different launching angles
Launch speed (Initial velocity) = 25 m/s
Launch angle
α ()
Range R
(m)
Maximum height
h(m)
Sin 2a
sin^2 a
15
31.88
2.14
0.5
0.07
20
40.99
3.73
0.64
0.12
25
48.85
5.7
0.77
0.18
30
55.23
7.97
0.87
0.25
35
59.93
10.49
0.94
0.33
40
62.81
13.17
0.98
0.41
45
63.78
15.94
1
0.5
Transcribed Image Text:Table 1. Range and height for different launching angles Launch speed (Initial velocity) = 25 m/s Launch angle α () Range R (m) Maximum height h(m) Sin 2a sin^2 a 15 31.88 2.14 0.5 0.07 20 40.99 3.73 0.64 0.12 25 48.85 5.7 0.77 0.18 30 55.23 7.97 0.87 0.25 35 59.93 10.49 0.94 0.33 40 62.81 13.17 0.98 0.41 45 63.78 15.94 1 0.5
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