uarterback claims that he can throw the football a horizontal distance of 183 m (200 yd). Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 30.0° above the horizontal. To evaluate this claim, determine the speed with which this quarterback must throw the ball. Assume that the ball is launched and caught at the same vertical level and that air resistance can be ignored.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A quarterback claims that he can throw the football a horizontal distance of 183 m (200 yd). Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 30.0° above the horizontal. To evaluate this claim, determine the speed with which this quarterback must throw the ball. Assume that the ball is launched and caught at the same vertical level and that air resistance can be ignored. For comparison, a baseball pitcher who can accurately throw a fastball at 45 m/s (100 mph) would be considered exceptional. 

Using the formula given.

Horizontal
Vertical
V = Vox + at
Vy = Voy + gt
1
1
x – x, = Voxt +at?
х — х.
h = Voyt +5gt
V? = Vox? + 2a(x – x.)
V,? = Voy? + 2gh
Vỵ +Vox
|t
(Vy + Voy
h =
x - x.
X – x, =
t
2
2
Vox = V, cos e
Voy = V, sin e
General Formula
V. = Vox + Voy
Transcribed Image Text:Horizontal Vertical V = Vox + at Vy = Voy + gt 1 1 x – x, = Voxt +at? х — х. h = Voyt +5gt V? = Vox? + 2a(x – x.) V,? = Voy? + 2gh Vỵ +Vox |t (Vy + Voy h = x - x. X – x, = t 2 2 Vox = V, cos e Voy = V, sin e General Formula V. = Vox + Voy
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