3. (4.6) Recall the relationship between acceleration, velocity, and position: the deriva tive of position is velocity, and the derivative of velocity is acceleration. a(t) : v'(t) : s"(t) A particle moves with acceleration (105) : 5 213. Its initial velocity is 11(0) : 3 meters/ second and its initial position is 5(0) 2 10 meters. (a) Find its position after (i) 1 second, (ii) 5 seconds, and (iii) 10 seconds. (b) What do you observe about the behavior of the particle during the rst ten seconds, using your answer from (a)