Final answer:
The total distance the tennis ball travels is 80 m. The displacement of the tennis ball is 12 m in the northward direction, as displacement takes both magnitude and direction into account.
Step-by-step explanation:
The question is asking for two different metrics regarding the motion of a tennis ball—total distance traveled and the ball's displacement. Let's break down the ball's movements: 22 m southward, 12 m northward, another 12 m southward, and finally 34 m northward.
To find the total distance, we simply add up all the movements: 22 m + 12 m + 12 m + 34 m = 80 m.
To find the displacement, we need to consider the direction of the movements. The total southward movement is 22 m + 12 m = 34 m, and the total northward movement is 12 m + 34 m = 46 m. Since displacement is a vector quantity, we subtract the total southward movement from the northward movement: 46 m - 34 m = 12 m northward. This is the magnitude and direction of the displacement.