Answer: In a World Cup soccer match, Juan is running due

Chapter 3, Problem 83P

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QUESTION:

Problem 83P

In a World Cup soccer match, Juan is running due north toward the goal with a speed of 8.00 m/s relative to the ground. A teammate passes the ball to him. The ball has a speed of 12.0 m/s and is moving in a direction 37.0o east of north, relative to the ground. What are the magnitude and direction of the ball’s velocity relative to Juan?

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QUESTION:

Problem 83P

In a World Cup soccer match, Juan is running due north toward the goal with a speed of 8.00 m/s relative to the ground. A teammate passes the ball to him. The ball has a speed of 12.0 m/s and is moving in a direction 37.0o east of north, relative to the ground. What are the magnitude and direction of the ball’s velocity relative to Juan?

ANSWER:

Solution 83P

The relative velocity of A with respect to B is given by



Solution

Step 1

In this case we have to find out the relative velocity of the ball with respect to the Juan.

The velocity of Juan is  towards north

And the velocity of the ball is  at 37.0° towards east from north.

Hence the angle between the velocity vector is

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