The accleration of a particle is given by a=-ks^2 where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s=5m if k=0.1m^-1s^-2 and the initial conditions at time t=0 are s(initial)=3m and v(initial)=10m/s.