baldymcgee6
  • baldymcgee6
A certain object of mass 3kg is dropped into a liquid and, as it falls through it, it is subject to the downward force of gravity and the upward force of drag, which is given by one fifth of its speed. Express this statement as a differential equation and solve such equation to identify the velocity function for the object.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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baldymcgee6
  • baldymcgee6
@zepdrix :)
baldymcgee6
  • baldymcgee6
I should be fine to solve the linear ODE, I just don't know where to start with contructing one.
zepdrix
  • zepdrix
hmm :(

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zepdrix
  • zepdrix
hmm i dunno, this one is too "physics"y for me lol
baldymcgee6
  • baldymcgee6
haha, who else on here does calculus?
zepdrix
  • zepdrix
Hmm I dunno. There are a bunch of smarty pants online right now though :O Zarkon, Satellite, King George ...
baldymcgee6
  • baldymcgee6
@satellite73, @UnkleRhaukus ?
baldymcgee6
  • baldymcgee6
these guys probably get so many tags that they don't even bother.. lol... the joys of a 99 smartscore.
baldymcgee6
  • baldymcgee6
oh goody @hartnn came online :)
hartnn
  • hartnn
seen such question for the first time, but still i'll give it a try... downward force of gravity =ma = mg (acceleration is due to gravity, so a=g) upward force of drag = ma = m dv/dt (v=velocity) given that mdv/dt = 1/5th of its speed = v/5 mdv/dt = v/5 in itself is a DE, donno how to incorporate mg ...
hartnn
  • hartnn
v=velocity function ..
baldymcgee6
  • baldymcgee6
haha. Well that is a good start, I don't have any idea either of how to incorporate mg
baldymcgee6
  • baldymcgee6
Fnet = mg - v/5
hartnn
  • hartnn
if the question meant that 'both' downward and upward forces together are 1/5th of speed, then m dv/dt -mg = v/5 ...
baldymcgee6
  • baldymcgee6
m*dv/dt = mg-v/5 ???
hartnn
  • hartnn
or that^ i am still unsure..
baldymcgee6
  • baldymcgee6
no I think just the drag is v/5
baldymcgee6
  • baldymcgee6
hmm, I guess I will just go with one and see what I get.. :) thanks guys!

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