A long jumper leaves the ground at an angle of 21° above the horizontal, at a speed of 9 m/s. The height of the jumper can be modeled by h(x)=-0.046x²+0.363x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch. Part: 0/3 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 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. Part: 2/3 Part 3 of 3 (c) What is the length of the jump? Round to 1 decimal place. The length of the jump is approximately meters. X
A long jumper leaves the ground at an angle of 21° above the horizontal, at a speed of 9 m/s. The height of the jumper can be modeled by h(x)=-0.046x²+0.363x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch. Part: 0/3 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 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. Part: 2/3 Part 3 of 3 (c) What is the length of the jump? Round to 1 decimal place. The length of the jump is approximately meters. X
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 21° above the horizontal, at a speed of 9 m/s. The height of the jumper can be modeled by
h(x) = − 0.046x² +0.363x, where h is the jumper's height in meters and x is the horizontal distance from the point of launch.
Part: 0 / 3
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
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.
Part: 2 / 3
Part 3 of 3
(c) What is the length of the jump? Round to 1 decimal place.
The length of the jump is approximately meters.
x
x
x
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