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In a World Cup soccer match, Juan is running due north toward the goal with a speed of 7.70{\rm m/s} relative to the ground. A teammate passes the ball to him. The ball has a speed of 12.7{\rm m/s} and is moving in a direction of 35.6^\circeast of north, relative to the ground.
A) What is the magnitude of the ball's velocity relative to Juan?
B) What is the direction of the ball's velocity relative to Juan?
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