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 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 speed is constant. Her velocity is constant because her speed is constant.
The correct statement is: Her velocity changes because her direction changes.
The correct statement is: Her velocity changes because her direction changes.
To determine which statement is true, we need to understand the concepts of velocity, speed, and direction.
Velocity is a vector quantity that includes both speed and direction. Speed, on the other hand, is a scalar quantity that only represents the magnitude or numerical value of how fast an object is moving. Direction refers to the path or orientation of an object's movement.
In the given scenario, the student walks east for 100 meters in 2 minutes and then north for 200 meters in 4 minutes. From this information, we can calculate the student's average velocity for each segment.
For the first segment (walking east), the displacement is 100 meters east in 2 minutes. To find the average velocity, we divide the displacement (100 meters east) by the time taken (2 minutes). This gives us an average velocity of 50 meters per minute towards the east.
For the second segment (walking north), the displacement is 200 meters north in 4 minutes. Again, dividing the displacement by the time taken, we get an average velocity of 50 meters per minute towards the north.
Since the calculated average velocities for both segments are the same, it indicates that the student's velocity is constant.
Therefore, the correct statement is:
Her velocity is constant because her direction is constant.