Answer:
Given that the train which is heading north on the tracks takes 6 seconds to reach 60 miles per hour and completes the entire 60 mile trip in one hour, we can calculate the train's average speed and velocity over the one hour trip. Now right off the bat we know that the measurement we calculate for the train's average SPEED will be a scalar quantity as we are dealing with speed. On the other hand the measurement we calculate for the train's velocity will be a vector quantity as we are dealing with velocity and the quantity has both a magnitude and a direction. Now: we now that the train completed the entire 60 mile trip in one hour which means it is going 60 mph north, which is the velocity This velocity has both a magnitude (60 mph) and a direction (north). For the train's average speed we look at distance divided by time. The speed of the train is 60 miles per hour. The difference between speed and velocity is that speed is how fast an object is going with respect to a frame of reference versus velocity is a measure of the speed and direction of an object.
Explanation:
When a train leaves the station heading north on the tracks. It takes the train 6 seconds to reach 60 miles per hour. It completes the entire 60-mile trip in one hour, then the train's average speed and velocity over the one hour trip would be 60 miles per hour and 60 miles per hour northward respectively.
The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second. It can also be represented by the infinitesimal rate of change of displacement with respect to time. The generally considered unit for velocity is a meter per second.
As given in the problem a train leaves the station heading north on the tracks. It takes the train 6 seconds to reach 60 miles per hour. It completes the entire 60-mile trip in one hour.
As we know that the average speed is the total distance divided by the total time, as the train covers 60 miles in one hour, its average speed would be 60 miles per hour
The velocity of the train would be 60 miles per hour as well but as we know velocity is a vector quantity and always mentioned with the direction, while the speed is a scalar quantity
Thus, the train's average speed and velocity over the one-hour trip would be 60 miles per hour and 60 miles per hour northward respectively.
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