A typical sneeze expels material at a maximum speed of 44 m/s. Suppose the material begins inside the nose at rest, 2.0 cm from the nostrils. It has a constant acceleration for the first 0.25 cm and then moves at constant velocity for the remainder of the distance. 

(a) What is the acceleration as it moves the first 0.25 cm?
(b) How long does it take to move the 2.0 cm distance in the nose?
(c) Sketch a graph of v_x(t).