Question

A soccer ball is kicked 6 m north. Then a teammate kicks it 3 m east into the goal. What is the soccer ball’s displacement from where it was first kicked?

Hint: You will use pythag theorem

(1 point)
Responses

9 m Northeast
9 m Northeast

3 m Northeast
3 m Northeast

-3 m Northeast
-3 m Northeast

6.7 m Northeast

Answer 1

Displacement = sqrt(6^2 + 3^2) = sqrt(45) ≈ 6.7 m. Direction = arctan(3/6) ≈ 26.6° east of north.

So the closest choice: 6.7 m Northeast.