dynamics problem!! this is a problem about a resistive force that is a function of v, not x. a block with an initial velocity goes through a medium that resists motion with force proportional to the block's velocity, with proportionality constant K. so basically the resistive force = -Kx (i choose the pos x dir to be in the dir of initial velocity) i am supposed to find the stopping distance by finding v as a function of x and then i am supposed to find it again by finding v as a function of t. i cruised wikipedia because it helped me on an escape velocity problem, and it gave me some help, but i dont know how they got what they did and im not entirely sure if its what i want. they said: -Kx = ma = m dv/dt which i have and understand they say it integrates to v = v(initial) * e^(-Kt/m) can anyone explain how they got that? i am missing some math skillz here. any other insights to the problem would be greatly appreciated.