A hawk flying at 17 m/s at an altitude of 204 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation x2 y = 204 – 51 until it hits the ground, where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter. m

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A hawk flying at 17 m/s at an altitude of 204 m accidentally drops its prey. The parabolic trajectory of the falling prey is
described by the equation
x2
y = 204
51
until it hits the ground, where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate
the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct
to the nearest tenth of a meter.
m
Transcribed Image Text:A hawk flying at 17 m/s at an altitude of 204 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation x2 y = 204 51 until it hits the ground, where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter. m
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