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 changes because her direction changes.
Her velocity changes because her direction changes.
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 changes because her direction changes.
The statement "Her velocity changes because her direction changes." is true.
To determine which statement is true, we first need to understand the concepts of velocity, speed, direction, and constant.
Velocity refers to the rate at which an object changes its position in a specific direction. It is a vector quantity that includes both speed and direction.
Speed, on the other hand, refers to the rate at which an object covers a distance and is a scalar quantity. It only measures how fast an object is moving without considering the direction.
Direction is the path along which an object moves, specified by angles, compass directions, or vectors.
Lastly, constant means something that does not change or remains the same over a given time or interval.
In this scenario, the student walks east for 100 meters in 2 minutes and then walks north for 200 meters in 4 minutes. Let's analyze the statements provided and determine which one is true:
1. Her velocity changes because her speed varies.
This statement is true. Since the student walks at different speeds (100 meters in 2 minutes and 200 meters in 4 minutes), her speed varies. Velocity includes both speed and direction, so if the speed changes, the velocity will also change.
2. Her velocity changes because her direction changes.
This statement is also true. When the student changes direction from east to north, her velocity changes as well because velocity includes direction. So, the change in direction affects the overall velocity.
3. Her velocity is constant because her direction is constant.
This statement is false. Although the student walks in a constant direction (east and then north), her velocity changes due to the difference in speed.
4. Her velocity is constant because her speed is constant.
This statement is false. The speed of the student is not constant because she walks at different speeds for each segment of the motion.
Therefore, the correct statement is the first one: "Her velocity changes because her speed varies."