Consider the velocity function for an object moving along a line shown in the figure. VA a. Describe the motion of the object over the interval [0, 12]. 40- 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. 30- d. Assuming that the velocity remains 20 m/s for t2 9, what is the displacement function between t= 0 and any time t2 9? Velocity (m/s) 20- 0 2 4 6 8 10 12 t Time (s) a. Describe the motion of the object over the interval [0, 12]. The object is on the interval [0, 1] , on [1,6], on [6,9], and on [9, 12]. b. The displacement of the object between t= 0 and t= 2 is (Simplify your answer.) c. The displacement of the object between t = 2 and t= 9 is V (Simplify your answer.) d. The displacement function between t = 0 and any time t2 9 isSUBJECT : CALCULUS DATE CONSIDER THE VELOCITY FUNCTION FOR AN OBJECT MOVING ALONE A LIVE SHOWN IN THE FIGURE A . DESCRIBE THE MOTION OF THE OBJECT OVER 7GOING UP THE INTERVAL (0 12 ) 11 30 SPEEDING PER 20 NOTE : AS THE RESULT, THE VELOCITY INCREASED THE LINE ON THE GRAPH CLIMBS UP AND THEN QUICKLY DESCENDS AFTER REACHING 0 2 9 6 8 10 12 ( 6, 30 ) AND REACHED ( 9, 20 ) A. THE OBJECT IS MOVING FASTER OR SPEEDING UP , ON THE INTERVAL ( 0, ! ) CONTINUOS MOVEMENT ON A CONSTANT RATIO 1 ON [ 1, 6 ] SUBSTANTIALLY SLOWING DOWN ON [ 6 , 9 ) AND RESUME TO CONSTANT RATE OF MOVING B. THE DISPLACEMENT OF THE OBJECT BETWEEN T= O AND J = 2 is NOTE: TO GET THE AREA : 5 ( B ) ( h ) OF - ( 1 ) ( 30 ) + 1 ( 30 ) AND 45 m RECTANGLE : L X W 77