The position time graph of a shopping cart is given below. Answer the following questions by considering its [x-t] graph below. position (m) 8 N 5 5 A B 11 20 22 C D E 30 F G 40 44 time (sec) On this graph, positive positions and directions of travel are considered to be East. a) During which time interval (AB, BC, CD, DE, EF, FG) was the cart traveling at its greatest speed? (Hint: Highest slope) b) During which time interval was the cart traveling at its least (nonzero) speed? (Hint: Lowest slope) c) During which time interval(s) was the cart at rest (not moving, stationary)? (Hint: Flat line) d) During which time interval(s) did the cart travel in a negative direction? (Hint: Slope is decreasing) e) What was the cart's instantaneous speed at 6 seconds? (Hint: Exactly at t=6) f) What was the cart's instantaneous speed at 22 seconds? (Hint: Exactly at t=22) g) What was the cart's instantaneous speed at 42 seconds? (Hint: Exactly at t=42) h) Describe the cart's motion between 20 and 30 seconds. (location, speed, direction of travel, and distance travelled) i) What total distance did the cart travel during the entire 44 seconds? (Hint: All the way travelled by cart) j) What was the cart's net displacement (Ax) for the entire graph? (Hint: Change in position) k) What was the cart's average velocity during FG? (Hint: Slope)