A body of mass in falls through a medium that opposes its fall with a force per proportional to the square of its velocity so that ill equation of motion is md²x = mg -kv²,v=x where x ill the distance of fall de ² and v is the velocity. If at it=0, x=0 and. v=0, find the velocity of the body and the distance it has fallen in t seconde.

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
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Chapter4: Dynamics: Force And Newton's Laws Of Motion
Section: Chapter Questions
Problem 1CQ: Propose a force standard different from the example of a stretched spring discussed in the text....
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a medium that opposes
A body of macs m falle through
iets fau with a force per proporional to the square of
its velocity s0 that iu equation of motion úu
mdx - mg -Rv2, v=a
where. x the distance of Fall
%3D
dt2
and v is the velocity.If at t%=D0,2=0 and. v:o, fend the
velocity oF the body and the destance it has fauen in
t seconde.
Transcribed Image Text:a medium that opposes A body of macs m falle through iets fau with a force per proporional to the square of its velocity s0 that iu equation of motion úu mdx - mg -Rv2, v=a where. x the distance of Fall %3D dt2 and v is the velocity.If at t%=D0,2=0 and. v:o, fend the velocity oF the body and the destance it has fauen in t seconde.
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