1. For 0 S t S 12 particles A and B move along the the xaxis. The position of particle A at time t is given by 3 . 7rt The velocity of particle B at time t is given by Both particles are at position a: = 0 at time t = 0. a) For 0 S t S 12, when is the particle A moving to the left? b) Find the displacement and the total distance travelled by the particle A during the time interval 0 S t g 12. c) For 0 S t S 12, nd all times t during which the two particles A and B travel in the same direction. d) Find all the time intervals within 0 S t S 12 when both particles A and B are speeding up (i.e. when speed functions of both particles are increasing in time) or both slowing down (i.e. speed functions of both particles are decreasing in time). Explain your reasoning