Ignoring resistance, a sailboat starting from rest accelerates at a rate proportional to the difference between the velocities of the wind and the boat. With a 20-knot wind, this acceleration is described by the differential equation dv/dt=k(20-v) where v is the velocity of the boat (in knots) and t is the time (in hours). After half an hour, the boat is moving at 10 knots. A. Write the velocity as a function of time. B. What is the velocity of the boat after an hour.
Ignoring resistance, a sailboat starting from rest accelerates at a rate proportional to the difference between the velocities of the wind and the boat. With a 20-knot wind, this acceleration is described by the differential equation dv/dt=k(20-v) where v is the velocity of the boat (in knots) and t is the time (in hours). After half an hour, the boat is moving at 10 knots. A. Write the velocity as a function of time. B. What is the velocity of the boat after an hour.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Ignoring resistance, a sailboat starting from rest accelerates at a rate proportional to the difference between the velocities of the wind and the boat. With a 20-knot wind, this acceleration is described by the
A. Write the velocity as a function of time.
B. What is the velocity of the boat after an hour.
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