A train travels 60 km at a constant speed of 40km per hour for 1.5 hours. Explain why the total distance traveled does not affect the speed.
d=vt
Not sure what this is asking. It travels 60 km, at (80/3) km/hr for 2.25 hrs.
It is a math assignment. I got the distance and had to find out the speed and time. Then I had to answer that question.
The distance traveled does not affect the speed because it is time-dependent.
To understand why the total distance traveled does not affect the speed, let's break down the equation for speed:
Speed = Distance / Time
In this case, the given distance is 60 km and the time is 1.5 hours. Plugging in these values into the equation, we get:
Speed = 60 km / 1.5 hours
Simplifying this, we find that the speed of the train is 40 km/hour.
Now, let's imagine the train traveled a different distance, say 120 km, at the same speed of 40 km/hour. Plugging these values into the speed equation, we would have:
Speed = 120 km / 1.5 hours
Simplifying this, we would still find that the speed of the train is 40 km/hour.
As you can see, the total distance traveled in both cases does not affect the value of the speed. The speed remains constant because it is determined by the rate at which the train covers the distance within a given time. The distance simply tells us how much ground the train has covered, while the speed tells us how fast it is covering that ground.