The position of a particle moving along the x axis is given in centimeters by x = 9.68 + 1.18 t^3, where t is in seconds. Calculate (a) the average velocity (in cm/s) during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is midway between its positions at t = 2.00 s and t = 3.00 s.