anonymous
  • anonymous
Pl help
MIT 18.03SC Differential Equations
katieb
  • katieb
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anonymous
  • anonymous
\[pl derive the Eq.m v^{'}=mg-b v^{2}\]
anonymous
  • anonymous
its as DE for parachute
wrwrwr
  • wrwrwr
Looks like: Net force = force of gravity - air drag Net force from Newton's 2nd law is mass (\(m\)) times acceleration, and acceleration may be written as derivative of velocity (\(v'\)). Force of gravity near Earth is mass times the standard gravity (\(g \approx 9.81\)). And a simple drag model is to say that it is proportional to the square of the speed (\(v^2\)) with some proportionality constant (\(b\)).

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anonymous
  • anonymous
thanks

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