A student walks east 100 meters in 2 minutes. She then walks north 200 meters in 4 minutes. Which statement is true? (1 point)
• Her velocity changes because her direction changes.
• Her velocity changes because her speed varies.
• Her velocity is constant because her speed is constant.
• Her velocity is constant because her direction is constant.
The correct statement is:
• Her velocity changes because her direction changes.
To determine which statement is true, let's first understand the concepts of velocity, speed, and direction.
Velocity is a vector quantity that describes the rate of change of an object's position. It includes both the speed of an object and its direction of motion. Speed, on the other hand, is a scalar quantity that describes how fast an object is moving without considering its direction.
In this scenario, the student walks east and then north. The change in direction from east to north indicates a change in the student's velocity, specifically the direction component of velocity. Therefore, we can conclude that the statement "Her velocity changes because her direction changes" is true.
The correct statement is: Her velocity changes because her direction changes.
Velocity is a vector quantity that includes both magnitude (speed) and direction. In this scenario, the student initially walks east and then changes direction to walk north. As the direction changes, the velocity also changes, even if the speed remains constant. Therefore, the statement "Her velocity changes because her direction changes" is true.