Final answer:
The question pertains to the physics of train motion, particularly the relative speed of a man to a train's passenger, the average speed of the historical Zephyr train, and the acceleration and deceleration rates of a light-rail commuter train.
Step-by-step explanation:
The speed restrictions mentioned in the question likely apply to the fastest trains, such as those capable of traveling over 300 mph. While passengers inside may not feel the speed, it is measured relative to a fixed observer outside the train. For example, if a man is running perpendicular to the train track at 12 m/s and a train is moving at 30 m/s relative to the track, the speed of the man relative to the passenger inside the train cannot be determined with the given information, because their motions are in different directions (perpendicular).
The question about the Zephyr train's speed record provides an opportunity to calculate the average speed. If the train covered 1633.8 km in 13 hours, 4 minutes, and 58 seconds, you would convert the time to hours and then divide the distance by the time to find the average speed in km/h. To find the average speed in m/s, you would convert the kilometers to meters and the hours to seconds before dividing.
Finally, understanding a train's acceleration and deceleration is crucial in physics. For example, a train that accelerates from rest to reach a top speed of 80.0 km/h with a rate of 1.35 m/s² needs to be calculated using kinematic equations to find out the time it takes to reach that speed. Similarly, the deceleration rate is used to find how long the train takes to come to a stop from its top speed.