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 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.
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 correct statement is: Her velocity changes because her direction changes.
To answer this question, we need to understand the concepts of velocity, speed, and direction.
Velocity is a vector quantity that includes both speed and direction. Speed is how fast an object is moving, while direction is the path or route it is following.
In this scenario, the student walks east 100 meters in 2 minutes. This means her speed is 100 meters/2 minutes = 50 meters per minute. The direction she is walking is east.
Then, she walks north 200 meters in 4 minutes. Her speed is 200 meters/4 minutes = 50 meters per minute, and the direction she is walking is north.
Now, let's determine which statement is true:
1. "Her velocity changes because her speed varies." - This statement is incorrect. Although her speed varies, it remains constant within each segment (50 meters per minute).
2. "Her velocity is constant because her direction is constant." - This statement is incorrect. While her direction remains constant within each segment, the change in direction from east to north means her velocity changes overall.
3. "Her velocity is constant because her speed is constant." - This statement is incorrect. Although her speed is constant within each segment, the change in direction from east to north means her velocity changes overall.
4. "Her velocity changes because her direction changes." - This statement is correct. As the student changes her direction from east to north, her velocity also changes because velocity considers both speed and direction.
Therefore, the correct statement is "Her velocity changes because her direction changes."