Reference Frames and Relative Motion Practice Test

Two cars move east on a highway: Car A at $30\ \text{m/s}$ and Car B at $25\ \text{m/s}$. A reference frame is the chosen observer and axes used to measure motion. Relative motion uses velocity differences to describe how one object appears from another. This applies to traffic merging and passing maneuvers. Based on the scenario described, what is the relative speed between the cars?

A train moves east at $20\ \text{m/s}$ while a passenger walks east at $2\ \text{m/s}$ inside. A reference frame is the viewpoint used to measure position and velocity, so motion depends on the chosen frame. Relative motion compares velocities measured in different frames, such as the passenger relative to the train versus the ground. This idea applies to moving vehicles, like commuters walking in buses or luggage carts in airports. Based on the scenario described, what is the velocity of the passenger relative to the train?