Final answer:
The displacement can be calculated by considering the direction of movement. In the example with the tennis ball, after rolling 10 m towards a wall and then 2.5 m away from it post-impact, the ball of yarn's displacement would be 7.5 m away from the starting point.
Step-by-step explanation:
The question is asking for the displacement of a ball of yarn. Displacement refers to the change in position of an object and is a vector quantity, meaning it has both magnitude and direction. The details provided in the array of data do not directly answer the displacement of the ball of yarn. However, if we consider the scenario where a tennis ball is rolled towards a wall, from where it is 10 m away and, after striking the wall, rolls a further 2.5 m away from the wall, the resultant displacement can be calculated.
Since displacement is the shortest distance from the initial to the final position of the ball, in this case, the ball first approaches the wall and then moves away from it after striking. The initial displacement towards the wall is 10 m, and after striking, it moves 2.5 m away from the wall. Therefore, the net displacement is 7.5 m away from the initial position.