Suppose that an lowa class battleship has mass around 54,000 metric tons (54,000,000 kg) and a k-value in the equation v = vo e m of about 66,000 kg where v in the ship's velocity, vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 11 a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Suppose that an lowa class battleship has mass around 54,000 metric tons (54,000,000 kg) and a k-value in the equation v = vo e**
of about 66,000
kg
where v is the
ship's velocity, vo is the initial velocity, m is the mass, k is a constant of proportionality, andt is time. Assume that the ship loses power when it is moving at a speed of 11
a. About how far will the ship coast before it is dead in the water?
b. How long will it take the ship's speed to drop to 2 m/sec?
Transcribed Image Text:Suppose that an lowa class battleship has mass around 54,000 metric tons (54,000,000 kg) and a k-value in the equation v = vo e** of about 66,000 kg where v is the ship's velocity, vo is the initial velocity, m is the mass, k is a constant of proportionality, andt is time. Assume that the ship loses power when it is moving at a speed of 11 a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec?
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