A student walks east 100 meters in 2 minutes. She then walks north 200 meters in 4 minutes. Which statement is true?(1 point)%0D%0AResponses%0D%0A%0D%0AHer velocity is constant because her direction is constant.%0D%0AHer velocity is constant because her direction is constant.%0D%0A%0D%0AHer velocity changes because her speed varies.%0D%0AHer velocity changes because her speed varies.%0D%0A%0D%0AHer velocity changes because her direction changes.%0D%0AHer velocity changes because her direction changes.%0D%0A%0D%0AHer velocity is constant because her speed is constant.
The correct statement is: Her velocity changes because her direction changes.
The statement "Her velocity changes because her direction changes." is true.
To determine which statement is true, we need to first understand the concepts of velocity, speed, and direction.
Velocity measures the rate at which an object changes its position. It includes both speed and direction.
Speed, on the other hand, measures the rate at which an object covers distance. It is a scalar quantity and does not take into account the direction.
Direction refers to the path or orientation in which an object is moving.
Now, let's analyze the given situation:
The student walks east 100 meters in 2 minutes. Since this distance and time are provided, we can calculate the speed of this motion. Speed is determined by dividing the distance traveled by the time taken:
Speed = Distance / Time
Speed = 100 meters / 2 minutes = 50 meters per minute.
So, the speed of the student's eastward motion is 50 meters per minute.
Next, the student walks north 200 meters in 4 minutes. Again, we can calculate the speed for this motion:
Speed = Distance / Time
Speed = 200 meters / 4 minutes = 50 meters per minute.
Here, the speed of the student's northward motion is also 50 meters per minute.
From the analysis, we can conclude that the speed remains constant because it is the same for both the eastward and northward motions.
However, velocity also takes into account the direction of motion. In this case, the student changes direction from east to north. Since the direction changes, the velocity also changes. Therefore, the statement that is true is:
"Her velocity changes because her direction changes."