1. ## Acceleration/velocity model

A particle moving along the x-axis is subject to a constant accelerating force of kN and a resistive force proportional to velocity with constant of proportionality p . Determine a general solution for position x(t) for x in meters and t in seconds.

So far I have the d.e. setup as m v' = k N - p v(t)

Any help will be appreciated!

2. Originally Posted by kirosu
A particle moving along the x-axis is subject to a constant accelerating force of kN and a resistive force proportional to velocity with constant of proportionality p . Determine a general solution for position x(t) for x in meters and t in seconds.

So far I have the d.e. setup as m v' = k N - p v(t)

Any help will be appreciated!
It looks good to me, so long as your accelerating force is acting in the positive direction.

-Dan