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The resistance force due to water acting on a boat is proportional to its instantaneous speed, and is such that at 30 feet per second it is 90 pounds. If the boat and its only passenger together weigh 448 pounds and the motor can exert a constant force of 540 pounds in the direction of motion, determine the speed v (t) of the boat, in ft / s, depending on time t, in seconds , assuming that the boat starts from rest. Consider the acceleration of gravity as g = 32 ft / s²

The resistance force due to water acting on a boat is proportional to its instantaneous speed, and is such that at 30 feet per second it is 90 pounds. If the boat and its only passenger together weigh 448 pounds and the motor can exert a constant force of 540 pounds in the direction of motion, determine the speed v (t) of the boat, in ft / s, depending on time t, in seconds , assuming that the boat starts from rest. Consider the acceleration of gravity as g = 32 ft / s²

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The resistance force due to water acting on a boat is proportional to its instantaneous speed, and is such that at 30 feet per second it is 90 pounds. If the boat and its only passenger together weigh 448 pounds and the motor can exert a constant force of 540 pounds in the direction of motion, determine the speed v (t) of the boat, in ft / s, depending on time t, in seconds , assuming that the boat starts from rest.

Consider the acceleration of gravity as g = 32 ft / s²

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