A long jumper leaves the ground at an angle of 17° above the horizontal, at a speed of 10 m/s. The height of the jumper can be modeled by h(x)=-0.047x²+0.366x, where it is the jumper's height in meters and x is the horizontal distance from the point of launch. Part 1 of 3 (a) At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. The long jumper reaches a maximum height when the horizontal distance from the point of launch is approximately 3.89 meters. Part: 1/3 Part 2 of 3 (b) What is the maximum height of the long jumper? Round to 2 decimal places. The maximum height of the long jumper is approximately meters.
A long jumper leaves the ground at an angle of 17° above the horizontal, at a speed of 10 m/s. The height of the jumper can be modeled by h(x)=-0.047x²+0.366x, where it is the jumper's height in meters and x is the horizontal distance from the point of launch. Part 1 of 3 (a) At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. The long jumper reaches a maximum height when the horizontal distance from the point of launch is approximately 3.89 meters. Part: 1/3 Part 2 of 3 (b) What is the maximum height of the long jumper? Round to 2 decimal places. The maximum height of the long jumper is approximately meters.
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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Transcribed Image Text:A long jumper leaves the ground at an angle of 17° above the horizontal, at a speed of 10 m/s. The height of the jumper can be modeled by
h(x)=-0.047x+0.366x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch.
Part 1 of 3
(a) At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places.
The long jumper reaches a maximum height when the horizontal distance from the point of launch is approximately 3.89 meters.
Part: 1/3
Part 2 of 3
(b) What is the maximum height of the long jumper? Round to 2 decimal places.
The maximum height of the long jumper is approximately
meters.
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