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From a height of 7 meters above ground level, a rock with mass m = 4 kg is hurled into the air with an initial velocity of 12 m/sec. Let y denote the rock's height, in meters above the ground, at time t seconds after it is hurled. In addition to a gravitational force with F, = mg with g = 9.8 m/sec2, the moving rock experiences air resistance directly proportional to the velocity, y', that is, a resistive force F, = cy', with c = 0.02. The model my" = -(F, + F,) describes this situation. To the nearest 0.01 seconds, when does the rock achieve its maximum height? 1.221 To the nearest 0.1 meters, what is the maximum height that it achieves? 12.4 X m

From a height of 7 meters above ground level, a rock with mass m = 4 kg is hurled into the air with an initial velocity of 12 m/sec. Let y denote the rock's height, in meters above the ground, at time t seconds after it is hurled. In addition to a gravitational force with F, = mg with g = 9.8 m/sec2, the moving rock experiences air resistance directly proportional to the velocity, y', that is, a resistive force F, = cy', with c = 0.02. The model my" = -(F, + F,) describes this situation. To the nearest 0.01 seconds, when does the rock achieve its maximum height? 1.221 To the nearest 0.1 meters, what is the maximum height that it achieves? 12.4 X m

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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From a height of 7 meters above ground level, a rock with mass m = 4 kg is hurled into the air with an initial velocity of 12 m/sec. Let y denote the rock's height, in meters above the ground, at time t seconds after it is hurled. In addition to a gravitational force with F, = mg with g = 9.8 m/sec?, the moving rock experiences air resistance directly proportional to the velocity, y', that is, a resistive force F, = cy', with c = 0.02. The model my" = -(F, + F,) describes this situation. To the nearest 0.01 seconds, when does the rock achieve its maximum height? 1.221 To the nearest 0.1 meters, what is the maximum height that it achieves? 12.4 X m 123 Tutorial
Transcribed Image Text:From a height of 7 meters above ground level, a rock with mass m = 4 kg is hurled into the air with an initial velocity of 12 m/sec. Let y denote the rock's height, in meters above the ground, at time t seconds after it is hurled. In addition to a gravitational force with F, = mg with g = 9.8 m/sec?, the moving rock experiences air resistance directly proportional to the velocity, y', that is, a resistive force F, = cy', with c = 0.02. The model my" = -(F, + F,) describes this situation. To the nearest 0.01 seconds, when does the rock achieve its maximum height? 1.221 To the nearest 0.1 meters, what is the maximum height that it achieves? 12.4 X m 123 Tutorial
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