Question

Stein kicked the soccer ball 15 meters to the east towards Ain. Ain then kicked the ball 7 meters to the west. Gerald then kicked the ball to the goal located 10 meters to the north. What is the total displacement of the ball?

A) 2 meters to the west
B) 12 meters to the east
C) 2 meters to the north
D) 18 meters to the north

Answer 1

The total displacement of the soccer ball is D)18 meters to the north.

Step-by-step explanation:

The total displacement of the ball can be found by adding the individual displacements together.

1. Stein kicks the ball 15 meters to the east, resulting in a displacement of +15 meters to the east.
2. Ain kicks the ball 7 meters to the west, which creates a displacement of -7 meters to the west.
3. Gerald kicks the ball 10 meters to the north, giving a displacement of +10 meters to the north.

To find the total displacement, we add the displacements together: +15 meters (east) + -7 meters (west) +10 meters (north). This equals 18 meters to the north. Therefore, the correct answer is D) 18 meters to the north.