A freight train is coasting downhill on a slightly inclined railroad. At the moment when the train’s speed is 4.5 m/s, the engine is engaged. The train immediately begins to experience constant acceleration, such that it slows in its motion, stops for an instant (12.5 s after the engine is engaged), and begins to move in the opposite direction (uphill). Analyze the motion from the moment when the engine is turned on 1. How far does the train travel from the moment the engine is engaged until it reaches a momentary stop? 2. How long will it take the train to return to its position when the engine was engaged? 3. What is the speed of the train when it returns to its position when the engine was engaged? And 4. Graph position vs. time (x vs t), velocity vs. time (vx vs. t), and acceleration vs. time (ax vs. t) for the entire downand-up trip. (Include axis labels, marked positions and times, etc.

A freight train is coasting downhill on a slightly inclined railroad. At the moment when the train’s speed is 4.5 m/s, the engine is engaged. The train immediately begins to experience constant acceleration, such that it slows in its motion, stops for an instant (12.5 s after the engine is engaged), and begins to move in the opposite direction (uphill). Analyze the motion from the moment when the engine is turned on 1. How far does the train travel from the moment the engine is engaged until it reaches a momentary stop? 2. How long will it take the train to return to its position when the engine was engaged? 3. What is the speed of the train when it returns to its position when the engine was engaged? And 4. Graph position vs. time (x vs t), velocity vs. time (vx vs. t), and acceleration vs. time (ax vs. t) for the entire downand-up trip. (Include axis labels, marked positions and times, etc.