Given the following equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]V(t) = \frac{v_{0}}{1+ktv_{0}} [/tex]

find the position x as a function of time for an object of mass m, located at x = 0 and moving with velocity Voi (where i is the unit vector i) at time t = 0 and thereafter experiening a net force -kmv^2i

I'm guessing I need to integrate that function however seeing as we've only started integration today in calculus and htis was assigned in physics, I'm not quite sure as to how to approach the problem.

as far as I can see

[tex] \frac{dx}{dt} = \frac{v_{0}}{1+ktv_{0}} [/tex]

in which case

[tex] ({1+ktv_{o}}) dx = {v_{0}}dt [/tex]

but I'm not sure as to how to integrate the left and the right side of the function

any advice would be appreciated :)

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# Homework Help: Differential Equations lesson today

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