Amaya ran around 3 times around a 1 mile track in 45 minutes, what was her average velocity for the trip?

Average Velocity=0, Average speed=4mph

Explanation:

Let's begin by stating clear that motiont is the change of position of a body at a certain time. So, during this motion, the Amaya will have a trajectory and a displacement, being both different:  

The trajectory is the path followed by Amaya, the distance it travelled (is a scalar quantity).  

The displacement is the distance in a straight line between the initial and final position (is a vector quantity).

On the other hand, the velocity is a vector quantity and speed is its magnitude (a scalar quantity).

So, since Amaya ran around a closed track, the distance between her initial position and final position is zero, hence her average velocity is zero .

Now, in the case of her average speed , this can be calculated by the following equation:

Where:

is the covered distance (the trajectory)

is the time it took to Amaya to cover the mentioned distance

Then:

Finally:

1 the 4 is sig