An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 50°, its height, f(x), in feet, can be modeled by f(x)=−0.02x2+1.2x+6.3, where x is the shot's horizontal distance, in feet, from its point of release. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is ?, which occurs ? feet from the point of release.
An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 50°, its height, f(x), in feet, can be modeled by f(x)=−0.02x2+1.2x+6.3, where x is the shot's horizontal distance, in feet, from its point of release. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is ?, which occurs ? feet from the point of release.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of
50°, its height, f(x), in feet, can be modeled by
f(x)=−0.02x2+1.2x+6.3, where x is the shot's horizontal distance, in feet, from its point of release.
What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is ?, which occurs ? feet from the point of release.
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