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40 40 Maximum height 30 30 Shot Put's Height (feet) 20 20 g(x) = −0.04x² + 2.1.x + 6.1 Shot released at 65° Maximum height Distance of throw or maximum horizontal distance 10 f(x)=0.01x2 +0.7x+6.1 10 10 Shot released at 35° 90 20 30 40 50 60 70 80 90 Shot Put's Horizontal Distance (feet) x

40 40 Maximum height 30 30 Shot Put's Height (feet) 20 20 g(x) = −0.04x² + 2.1.x + 6.1 Shot released at 65° Maximum height Distance of throw or maximum horizontal distance 10 f(x)=0.01x2 +0.7x+6.1 10 10 Shot released at 35° 90 20 30 40 50 60 70 80 90 Shot Put's Horizontal Distance (feet) x

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter30: Customary And Metric Steel Rules
Section: Chapter Questions
Problem 1A
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Question

When the shot whose path is shown by the red graph on the 
previous page is released at an angle of 65°, its height, g(x), in 
feet, can be modeled by
g(x) =-0.04x
2
+2.1x+6.1,
where x is the shot’s horizontal distance, in feet, from its point 
of release. Use this model to solve parts (a) through (c) and 
verify your answers using the red graph.
a.  What is the maximum height, to the nearest tenth of a 
foot, of the shot and how far from its point of release does 
this occur?
b.  What is the shot’s maximum horizontal distance, 
to  the  nearest tenth of a foot, or the distance of the 
throw?
c.  From what height was the shot released?

40 40 Maximum height 30 30 Shot Put's Height (feet) 20 20 g(x) = −0.04x² + 2.1.x + 6.1 Shot released at 65° Maximum height Distance of throw or maximum horizontal distance 10 f(x)=0.01x2 +0.7x+6.1 10 10 Shot released at 35° 90 20 30 40 50 60 70 80 90 Shot Put's Horizontal Distance (feet) x
Transcribed Image Text:40 40 Maximum height 30 30 Shot Put's Height (feet) 20 20 g(x) = −0.04x² + 2.1.x + 6.1 Shot released at 65° Maximum height Distance of throw or maximum horizontal distance 10 f(x)=0.01x2 +0.7x+6.1 10 10 Shot released at 35° 90 20 30 40 50 60 70 80 90 Shot Put's Horizontal Distance (feet) x
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