The position of a particle moving along the x axis is given in centimeters by, x = 9.75 + 1.50t3 where t is in seconds. Calculate: a) the average velocity during the time interval t = 2.00 s to t =3.00 s; and b) the instantaneous velocity when the particle is midway between its positions at t = 2.00 s and t = 3.00 s. c) Is the particle speeding up, slowing down or moving at constant velocity in the situation described in b)? Explain. d) Graph x versus t indicating your answers provided in a) and b) graphically and a versus t