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 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. Her velocity is constant because her direction is constant. Her velocity is constant because her direction is constant.
The correct statement is: Her velocity changes because her direction changes.
In order to determine which statement is true, we need to understand the concepts of velocity, speed, and direction.
Velocity is a vector quantity that describes both the speed and direction of an object's motion. Speed, on the other hand, is a scalar quantity that only describes how fast an object is moving, irrespective of the direction.
In this case, the student walks east for 100 meters in 2 minutes. To determine her velocity during this time, we need to calculate her speed and take into account the direction. Since she walks exclusively east, her direction remains constant. Therefore, her velocity during this interval is constant.
Next, the student walks north for 200 meters in 4 minutes. Again, to determine her velocity, we need to consider both the speed and direction. As she changes her direction to north, her velocity changes because the direction of motion has changed.
Therefore, the correct statement would be: "Her velocity changes because her direction changes."