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12. An eagle flying due east at 15 m/s at an altitude of 200 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 200 – hits the ground, where y is its height above the ground (in meters) and x is the horizontal distance traveled (in meters). A until it (a) Sketch the prey's trajectory. How far east does the prey hit the ground, relative to the location of the hawk at the time the prey was dropped? Explain. (b) Calculate the distance traveled by the prey along its parabolic trajectory from the time it is dropped until the time it hits the ground. Express your answer to the nearest tenth of a meter.

12. An eagle flying due east at 15 m/s at an altitude of 200 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 200 – hits the ground, where y is its height above the ground (in meters) and x is the horizontal distance traveled (in meters). A until it (a) Sketch the prey's trajectory. How far east does the prey hit the ground, relative to the location of the hawk at the time the prey was dropped? Explain. (b) Calculate the distance traveled by the prey along its parabolic trajectory from the time it is dropped until the time it hits the ground. Express your answer to the nearest tenth of a meter.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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12. An eagle flying due east at 15 m/s at an altitude of 200 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 200 - until it hits the ground, where y is its height above the ground (in meters) and x is the horizontal distance traveled (in meters). x2 45 (a) Sketch the prey's trajectory. How far east does the prey hit the ground, relative to the location of the hawk at the time the prey was dropped? Explain. (b) Calculate the distance traveled by the prey along its parabolic trajectory from the time it is dropped until the time it hits the ground. Express your answer to the nearest tenth of a meter.
Transcribed Image Text:12. An eagle flying due east at 15 m/s at an altitude of 200 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation y = 200 - until it hits the ground, where y is its height above the ground (in meters) and x is the horizontal distance traveled (in meters). x2 45 (a) Sketch the prey's trajectory. How far east does the prey hit the ground, relative to the location of the hawk at the time the prey was dropped? Explain. (b) Calculate the distance traveled by the prey along its parabolic trajectory from the time it is dropped until the time it hits the ground. Express your answer to the nearest tenth of a meter.
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