Consider the velocity function for an object moving along a line shown in the figure. a. Describe the motion of the object over the interval [0, 12]. b. Use geometry to find the displacement of the object between t= 0 and t= 2. c. Use geometry to find the displacement of the object between t = 2 and t= 9. velocity (mis) d. Assuming that the velocity remains 10 m/s for tz 9, what is the displacement function between t= 0 and any time t 2 9? 0 2 6 8 10 12 Time ( a. Describe the motion of the object over the interval [0, 12]. The object is speeding up on the interval [0, 1], moving at a constant rate on [1,6], slowing down on [6,9], and moving at a constant rate on [9, 12]. b. The displacement of the object between t= 0 and t=2 is (Simplify your answer.)