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 direction is constant. Her velocity is constant because her direction is constant. Her velocity changes because her speed varies. Her velocity changes because her speed varies. 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.
The statement "Her velocity changes because her direction changes" is true in this scenario.
To determine which statement is true, we need to understand the concept of velocity. Velocity is a vector quantity that includes both speed and direction. It describes the rate at which an object changes its position in a specific direction.
In this scenario, the student walks east for 100 meters in 2 minutes and then walks north for 200 meters in 4 minutes.
To find the velocity, we need to calculate the speed and direction separately for each part of the motion.
1. The student walks east for 100 meters in 2 minutes:
- Speed: The distance traveled is 100 meters, and the time taken is 2 minutes. Therefore, the speed is 100 meters / 2 minutes = 50 meters/minute.
- Direction: The student walks east, which means the direction is constant.
2. The student walks north for 200 meters in 4 minutes:
- Speed: The distance traveled is 200 meters, and the time taken is 4 minutes. Therefore, the speed is 200 meters / 4 minutes = 50 meters/minute.
- Direction: The student walks north, which means the direction changes.
Based on this analysis, we can conclude that her speed is constant at 50 meters/minute, but her direction changes. Therefore, the true statement is: Her velocity changes because her direction changes.