The deceleration of a certain tugboat in the water is directly proportional to the cube of the speed of the tug at any time t. The velocity of the tug is initially 5 m/s? and reduces to 3 m/s? after 2s. Show that the equation of motion of the tug is V? = 225 by using differential equations. 8t+9

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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The deceleration of a certain tugboat in the water is directly
proportional to the cube of the speed of the tug at any time t.
The velocity of the tug is initially 5 m/s? and reduces to 3 m/s?
after 2s. Show that the equation of motion of the tug is
225
V² =
by using differential equations.
8t+9
Transcribed Image Text:The deceleration of a certain tugboat in the water is directly proportional to the cube of the speed of the tug at any time t. The velocity of the tug is initially 5 m/s? and reduces to 3 m/s? after 2s. Show that the equation of motion of the tug is 225 V² = by using differential equations. 8t+9
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