Soccer player #1 is 7.31 m from the goal, as the figure shows. If she kicks the ball directly into the net, the ball has a displacement labeled . If, on the other hand, she first kicks it to player #2, who then kicks it into the net, the ball undergoes two successive displacements, y and x. What are the magnitudes of (a)x, and (b)y. Help?
To answer this question, we need to use the concept of vector addition. We start by finding the displacement of the ball when player #1 kicks it directly into the net. Let's call this displacement "d".
From the figure, we can see that the distance between player #1 and the goal is given as 7.31m. Since the ball goes directly into the net, the displacement "d" will have the same magnitude as this distance, but in the opposite direction. So the magnitude of displacement "d" is 7.31m.
Now let's consider the second scenario, where player #2 receives the ball from player #1 and then kicks it into the net. In this case, we have two successive displacements: y and x.
To find the magnitude of displacement "y", we need to consider the overall displacement from player #1 to player #2. Looking at the figure, we can see that the horizontal distance between player #1 and #2 is labeled as 4.87m. So the magnitude of displacement "y" will be 4.87m.
For the magnitude of displacement "x", we need to consider the overall displacement from player #2 to the goal. Looking at the figure, we can see that the horizontal distance between player #2 and the goal is labeled as 2.44m. So the magnitude of displacement "x" will be 2.44m.
To summarize:
(a) The magnitude of displacement "x" is 2.44m.
(b) The magnitude of displacement "y" is 4.87m.
Remember, when dealing with vectors, it is important to consider both magnitude and direction. In this case, we are only focusing on the magnitudes of the displacements. If you need to find the overall displacement in terms of both magnitude and direction, you would need to use vector addition to combine the individual displacements.