The Direction of the Smoke

The direction of the smoke from the electric train depends on various factors such as the wind speed and direction, the train's speed, and the design of the train's exhaust system. However, in this scenario where the train is moving north at 100mph and the wind is blowing to the west at 10mph, we can make a reasonable assumption about the direction of the smoke.

Relative Velocity

To determine the direction of the smoke, we need to consider the relative velocity of the train and the wind. The relative velocity is the vector sum of the velocities of the train and the wind. In this case, the train is moving north at 100mph, and the wind is blowing to the west at 10mph.

The magnitude of the relative velocity can be calculated using the Pythagorean theorem:

Relative velocity = √(train velocity^2 + wind velocity^2)
= √(100^2 + 10^2)
= √(10000 + 100)
= √10100
≈ 100.4987mph

The Smoke Direction

Since the relative velocity magnitude is slightly greater than the train's velocity, we can assume that the smoke will be blown slightly towards the west. However, it is important to note that the exact direction of the smoke will also depend on the design of the train's exhaust system.

Conclusion

In this scenario, where the electric train is moving north at 100mph and the wind is blowing to the west at 10mph, we can assume that the smoke will be blown slightly towards the west. However, it is crucial to consider that the direction of the smoke may vary based on the design of the train's exhaust system.