A high-speed train is moving with a velocity of 200 kilometers per hour north. How many kilometers will it travel in 2.5 hours?
The problem asks us to find the total distance traveled by a high-speed train moving at a constant velocity over a specified period. The given velocity is \(v = 200 \text{ km/h}\) and the time duration is \(t = 2.5 \text{ hours}\). Since the velocity is constant, the distance traveled can be calculated using the fundamental kinematic relationship: distance equals the product of velocity and time.
To find the total distance \(d\), we apply the formula:
\[d = v \times t\]
Substituting the given values, we have:
\[d = 200 \text{ km/h} \times 2.5 \text{ hours}\]
Performing the multiplication:
\[d = 500 \text{ km}\]
Thus, the train travels a total distance of \(500 \text{ kilometers}\).
The train, moving at a constant speed of \(200 \text{ km/h}\) for \(2.5 \text{ hours}\), covers a total distance of \(500 \text{ km}\). The final answer is \(\boxed{500 \text{ km}}\).
This calculation is essential in logistics and travel planning. For example, if you are planning a road trip and know your car's average speed is 60 miles per hour, you can estimate that in 4 hours you will travel \(60 \times 4 = 240\) miles. Such basic arithmetic helps in predicting arrival times and managing fuel efficiency for any moving vehicle.