A boat weighs 57600 lb. Its propellor produces a constant thrust of 36000 lb and the water exerts a resistive force with magnitude proportional to the speed, with 1800 lb-s/ft. Assuming that the boat starts from rest, find its velocity as a function of time, and find its terminal velocity. v(t) = Terminal Velocity =

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 61P
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A boat weighs 57600 lb. Its propellor produces a constant thrust of 36000 lb and the water exerts a resistive
force with magnitude proportional to the speed, with 1800 lb-s/ft. Assuming that the boat starts from rest,
find its velocity as a function of time, and find its terminal velocity.
v(t) =
=
Terminal Velocity =
Transcribed Image Text:A boat weighs 57600 lb. Its propellor produces a constant thrust of 36000 lb and the water exerts a resistive force with magnitude proportional to the speed, with 1800 lb-s/ft. Assuming that the boat starts from rest, find its velocity as a function of time, and find its terminal velocity. v(t) = = Terminal Velocity =
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