A metallic particle is subjected to the influence of a magnetic field such that it travels downward through a fluid that extends from plate A to plate B. If the particle is released from rest at the midpoint C, s=100mm, and the acceleration is measured as a= (4s) m/s2 , where s is in meters, determine the velocity of the particle when it reaches plate B, s=200mm, and the time it needs to travel C to B.