I'm new to this site, so please bear with me. 1. The problem statement, all variables and given/known data A particle of mass m has speed v(x) = α/√x. Calculate the force F(x) responsible. Then, calculate the displacement x(t) of the particle. 2. Relevant equations The equations that I believe we are supposed to use are f=ma and f=m*dv/dt 3. The attempt at a solution Since F= m*dv/dt, i tried this: F = m*dv/dx*dx/dt = mv*dv/dx = -mvα/(2(x)^(3/2)) And that's as far as I could get for the first problem. However, this seems off because the force is in terms of two variables, right? V and x?