A long jumper leaves the ground at an angle of 19° above the horizontal, at a speed of 10 m/s. The height of the jumper can be modeled by h(x)=-0.049x+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 3.73 meters.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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A long jumper leaves the ground at an angle of 19° above the horizontal, at a speed of 10 m/s. The height of the jumper can be modeled by
h(x)=-0.049x+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
3.73
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 0.68 meters.
Part: 2 / 3
Transcribed Image Text:A long jumper leaves the ground at an angle of 19° above the horizontal, at a speed of 10 m/s. The height of the jumper can be modeled by h(x)=-0.049x+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 3.73 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 0.68 meters. Part: 2 / 3
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 0.68 meters.
Part: 2/3
Part 3 of 3
(c) What is the length of the jump? Round to 1 decimal place.
meters.
The length of the jump is approximately
Transcribed Image Text: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 0.68 meters. Part: 2/3 Part 3 of 3 (c) What is the length of the jump? Round to 1 decimal place. meters. The length of the jump is approximately
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage