Solution Found!
Answer: In a World Cup soccer match, Juan is running due
Chapter 3, Problem 83P(choose chapter or problem)
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?
Questions & Answers
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