A soccer ball is kicked 6m north. then a teamate kicks is 3m east into the goal. what is the soccer balls displacement from where it was first kicked

Question

9 m Northeast
3 m Northeast
-3 m Northeast
6.7 m Northeast

Answer 1

To find the soccer ball's displacement, we can use the Pythagorean theorem.
The distance kicked north is 6m, while the distance kicked east is 3m.

Using the Pythagorean theorem:
Displacement = √(6^2 + 3^2)
Displacement = √(36 + 9)
Displacement = √45
Displacement ≈ 6.7m

Therefore, the soccer ball's displacement from where it was first kicked is approximately 6.7m northeast.