The position of a particle moving along the x axis is given in centimeters by x = 9.15 + 1.50t3, where r is in seconds. Calculate

(a) The average velocity during the time interval t = 2.00s to t = 3.00 s;

(b) The instantaneous velocity at t = 2.00s;

(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.

(f) Graph x versus t and indicate your answers graphically.