kinematics ..help .!

Question

anonymous · Answer

i dont think there are really anyone on right now

anonymous · Answer

A particle falls down under gravity in a resisting medium whose resistance per unit mass is kv^2 , where k is a constant and v is the velocity. The equation of motion is dv/dt = g-kv^2, where t is time and g is acceleration due to gravity. If the particle is dropped from rest, its velocity after time t is .?

anonymous · Answer

@ganeshie8 @eliassaab

ganeshie8 · Answer

you need to solve the differential equation and find the velocity function

anonymous · Answer

okay then for that what should be done first .?

ganeshie8 · Answer

familiar wid 'separation of variables' ?

anonymous · Answer

yes ...should it be like ..dv/g-kv^2 =dt ?

ganeshie8 · Answer

yes, solve it and apply the initial condition : t=0, v=0

anonymous · Answer

yeah ..trying .! den integrating on both sides .

anonymous · Answer

yes ..thank u .!

anonymous · Answer

this equation and draw element is not responding .!

anonymous · Answer

Here is the solution from wolframalpha http://www.wolframalpha.com/input/?i=solve+%28v%27%28t%29%3D+g+-+k+v%28t%29^2+%2C+v%28t%29%2C+t%29

anonymous · Answer

ohh ...u made it easier .!

anonymous · Answer

i got my answer ..thank you ..@eliassaab  and @ganeshie8