A soccer ball is kicked 6m north. then a teamate kicks is 3m east into the goal. what is the soccer balls distance

9 m
3 m
3 m
6.7 m

1 answer

To find the soccer ball's distance, we need to calculate the magnitude of the displacement vector.

The soccer ball is kicked 6m north. This means that the displacement vector after the first kick is 6m north (in the y-direction).

Then, the teammate kicks the ball 3m east. This means that the displacement vector after the second kick is 3m east (in the x-direction).

To find the total displacement, we can add the two displacements as vectors: (0, 6) + (3, 0) = (3, 6).

To find the magnitude of this displacement vector, we can use the Pythagorean theorem:

Distance = sqrt((3^2) + (6^2)) = sqrt(9 + 36) = sqrt(45) ≈ 6.7m

Therefore, the soccer ball's distance is approximately 6.7m.