8. The position of a particle is given by s(t) = v2t*> 6t + 6. (a) (8 pts) Find the velocity and acceleration function of the particle. (b) (6 pts) What is the maximum position obtained by the particle during the time interval [0,2]? 7. (12 pts) At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM