Solving Two Cars Intersection Problem: Velocity of Car B Relative to Car A

AI Thread Summary
To determine the velocity of Car B relative to Car A, the problem requires calculating the vector components of both cars' velocities. Car A moves north at 10.5 m/s, while Car B moves west at 17.1 m/s. Using vector addition, Car B's velocity in Car A's frame can be expressed in terms of magnitude and direction. The resultant velocity can be calculated using the Pythagorean theorem for magnitude and trigonometric functions for direction. The final answer will provide both the speed in m/s and the angle in degrees relative to east.
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These two problems are giving me some guff. Any ideas on how to solve?

Two cars approach an intersection of perpendicular streets. Car A is moving north at 10.5 meters per second, and Car B is moving west at 17.1 meters per second. What is the velocity of Car B relative to Car A? (In other words, what is the velocity of Car B in the reference frame of Car A?)
Answer 1 -m/s
Answer 2 -° (referenced to east being 0°, all angles between 0° and 360°)

Two cars approach an intersection of perpendicular streets. Car A is moving north at 10.5 meters per second, and Car B is moving west at 17.1 meters per second. What is the velocity of Car B relative to Car A? (In other words, what is the velocity of Car B in the reference frame of Car A?)
Answer 1 m/s
Answer 2 ° (referenced to east being 0°, all angles between 0° and 360°)
 
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first, if you where in car A, how would car B appear to you in frame of reference?

so think of it this way. the cars are moving as discribed; however, there is no road. instead, they are in space with nothing else around.
 
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