Problem Statement A rocket sled having an initial speed of 150 mi/hr is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v) = -µv², where v is the velocity and u is a constant. (a) use the relation dv/dt = v(dv/dx) to write the equation of motion in terms of v and x.

Problem Statement A rocket sled having an initial speed of 150 mi/hr is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v) = -µv², where v is the velocity and u is a constant. (a) use the relation dv/dt = v(dv/dx) to write the equation of motion in terms of v and x.