A particle in an experimental apparatus has a velocity given by v=k√s, where v is in millimeters per second, the position s is millimeters, and the constant k = 0.32 mm1/2s-1. If the particle has a velocity v0 = 6 mm/s at t = 0, determine the particle position, velocity, and acceleration as functions of time. To check your work, evalutate the time t, the position s, and the acceleration a of the particle when the velocity reaches 24 mm/s.