Consider the velocity function for an object moving along a line shown in the figure. VA 40 a. Describe the motion of the object over the interval [0, 11]. b. Use geometry to find the displacement of the object between t = 0 and t = 2. 30- c. Use geometry to find the displacement of the object between t = 2 and t = 8. Velocity (m/s) d. Assuming that the velocity remains 20 m/s for t 2 8, what is the displacement function between t= 0 and any time t = 8? 10- 0 2 4 6 8 10 12 t Time (S) a. Describe the motion of the object over the interval [0, 11]. The object is speeding up on the interval [0, 1], moving at a constant rate on [1,5], slowing down on [5,8], and moving at a constant rate on [8, 11]. b. The displacement of the object between t = 0 and t = 2 is 45 m. (Simplify your answer.) c. The displacement of the object between t = 2 and t= 8 is 165 (Simplify your answer.) d. The displacement function between t= 0 and any time t 2 8 is