A student walks east 100 meters in 2 minutes. She then walks north 200 meters in 4 minutes. Which statement is true?(1 point)
Responses
Her velocity is constant because her speed is constant.
Her velocity is constant because her speed is constant.
Her velocity is constant because her direction is constant.
Her velocity is constant because her direction is constant.
Her velocity changes because her direction changes.
Her velocity changes because her direction changes.
Her velocity changes because her speed varies.
Her velocity changes because her speed varies.
The correct statement is:
Her velocity changes because her direction changes.
The correct statement is: Her velocity changes because her direction changes.
To determine which statement is true, we need to understand the concepts of velocity, speed, direction, and how they relate to each other.
Velocity is a vector quantity that describes both the speed and direction of an object's motion. It is important to note that velocity takes into account the direction, unlike speed, which only measures how fast an object is moving.
Statement 1 claims that her velocity is constant because her speed is constant. However, this statement is incorrect because velocity not only depends on speed but also on direction. In this case, the student is changing direction between walking east and then north, so her velocity is not constant.
Statement 2 claims that her velocity is constant because her direction is constant. This statement is also incorrect because her velocity is changing when she changes direction from east to north.
Statement 3 claims that her velocity changes because her direction changes. This statement is correct because velocity depends on both speed and direction. As the student changes her direction from east to north, her velocity changes.
Statement 4 claims that her velocity changes because her speed varies. However, we are not given any information about her speed varying in this scenario. Therefore, this statement is not relevant to the information provided.
In summary, the correct statement is: Her velocity changes because her direction changes.