Question

A soccer ball is kicked 8 m north. Then a teammate kicks it 6 m east into the goal. What is the soccer ball’s displacement from where it was first kicked?
10 m northeast
14 m northeast
100 m northeast
4 m southeast

Answer 1

Answer:

Displacement=10 meters

Explanation:

The displacement is the direct path from the first contact with the ball and the last spot it was seen in. The ball was kicked north 8 meters, meaning it was kicked vertically upward, and then it was kicked east 6 meters, or to the right. If we were to draw the displacement we would see that this is a right triangle. That means we can use the Pythagorean Theorem:

$a^2+b^2=c^2\\8^2+6^2=c^2\\64+36=c^2\\c^2=100\\\sqrt{c} =\sqrt{100} \\c=10$

Boom.

Answer 2

Answer:

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Explanation:

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