A barge is being towed at 16 m/s when the towline breaks. It continues thereafter in a straight line but slows down at a rate proportional to the square root of its instantaneous velocity. If two minutes after the tow line breaks, the velocity is 9 m/s, how far does it move before coming to rest?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![A barge is being towed at 16 m/s when the towline breaks. It continues
thereafter in a straight line but slows down at a rate proportional to the square root
of its instantaneous velocity. If two minutes after the tow line breaks, the velocity is 9
m/s, how far does it move before coming to rest?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f37b2a2-9e0e-4e4c-97ba-bd3d5b82fc78%2Fe214eb71-e3c2-4ded-935b-eb685022ee29%2Fth0ssg_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 8 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
![Principles of Physics: A Calculus-Based Text](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)