A particle moving along a straight line has the following velocity function 110?) = t3 9132 + 20t 12 for 0 S t S 7, where t is measured in seconds and v(t) is m measured in ? . At t = 1 seconds the velocity of the particle is zero and 3(0) = 4 meters. a. What is the displacement of the particle for 0 5 t 5 7? b. What is the position of the particle at t = 7 seconds? c. For 0 g t S 7, when is the particle moving to the right? :1 d. For 0 S t g 7, when is the particle moving to the left? :1 e. What is the total distance traveled by the particle on time interval 0 155 7