Final answer:
The question involves physics, specifically kinematics, and requires the application of motion equations to solve problems about a train decelerating as it passes through a station.
Step-by-step explanation:
The student's question pertains to the physics of a train passing through a station. When addressing such questions, it's essential to apply the principles of motion and kinematics. Here's how to solve the example provided:
- (a) To find out how long did the nose of the train stay in the station, we would need to use the formula for deceleration and distance to calculate the duration of the train's presence in the station.
- (b) For determining how fast the train was going when the nose left the station, we'd use the final velocity equation that incorporates initial velocity, acceleration, and the distance.
- (c) To calculate when the end of the train leaves the station given the train length, we would consider the time it takes for the nose to leave and then add the time it would take for the rest of the train to pass through.
- (d) The velocity of the end of the train as it leaves can be calculated similarly to (b), taking into account the total time from when the train enters to when the end leaves the station.
All these calculations involve the basic kinematic equations and a clear understanding of motion in one dimension. The variables required include the initial velocity, the rate of deceleration, the length of the station, and the length of the train.