1. The problem statement, all variables and given/known data A block of mass m, which has an initial velocity v0 at time t = 0, slides on a horizontal surface. If the sliding friction force f exerted on the block by the surface is directly proportional to its velocity (that is, f = -kv), A) Write a differential equation for the velocity v in terms of the given variables and fundamental constants. B) Find the acceleration a of the block in terms of m, k, and v. C) The speed v of the block as a function of time t. D) The total distance the block slides. 2. Relevant equations F = m*a 3. The attempt at a solution I understand why B is a = (-kv)/m, and I know the answer to a is dv/dt = -kv/m but I don't know why, and I have no idea how to solve for velocity. Assuming I get a function for the velocity, what general equation would I use to solve for the total distance? I originally thought x-x0 = v0*t + (1/2)*a*t^2, but the acceleration isn't uniform.