Find the velocity v(t) and position x(t) of a particle of mass m that is subject to a
frictional force (retarding force or drag) proportional to the square of the velocity. Draw graphs for velocity and position against time.
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To find:
The velocity v(t) and position x(t) of a particle of mass m that is subject to a frictional force (retarding force or drag) proportional to the square of the velocity. Draw graphs for velocity and position against time.
Solution:
As per the question , the frictional force be:
Let's calculate the v - t relationship:
- k , c , c' are all constants.
- 1st graph is v(t) graph and 2nd is x(t) graph.
- Kindle observe the nature of the graph , and do not scale it.
Attachments:


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