?

Classical Mechanics

Free Version

Upgrade subject to access all content

Difficult

Addition of Displacements

CLMECH-BCVAXG

During a little league soccer game, a player kicks the ball over the fence that separates the field from the woods behind it. A goalie can see the ball, but to retrieve it, he needs to go around both the fence and thick underbrush.

He first runs 12 m North, then 10 m at ${ 30 }^{ o }$ South of East, and finally 18 m at ${70}^{ o }$ South of West to reach the ball.

What is the ball's displacement from the initial position of the goalie?

A

10.2 meters at ${76}^{ o }$ South of East.

B

10.2 meters at ${14 }^{ o }$ South of East.

C

40 meters at ${14}^{ o }$ South of East.

D

40 meters at ${76 }^{ o }$ South of East.