A student walks east 100 meters in 2 minutes. She then walks north 200 meters in 4 minutes. Which statement is true?(1 point)%0D%0AResponses%0D%0A%0D%0AHer velocity changes because her direction changes Her velocity changes because her direction changes. Her velocity is constant because her speed is constant. Her velocity is constant because her speed is constant. 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 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 concepts of velocity, speed, and direction.
Velocity is a vector quantity that represents both the speed and direction of an object's motion. Speed, on the other hand, is a scalar quantity that only represents how fast an object is moving, regardless of its direction. Direction refers to the path or orientation an object is moving in.
In the given scenario, the student walks east for 100 meters in 2 minutes, and then north for 200 meters in 4 minutes.
To find the velocity, we need to calculate the average velocity in each direction separately.
The average velocity is obtained by dividing the displacement (change in position) by the time taken.
For the eastward direction:
Displacement = 100 meters
Time = 2 minutes
Velocity (eastward) = Displacement / Time = 100 meters / 2 minutes = 50 meters per minute eastward
For the northward direction:
Displacement = 200 meters
Time = 4 minutes
Velocity (northward) = Displacement / Time = 200 meters / 4 minutes = 50 meters per minute northward
Based on the calculations, we can see that the velocity of the student is constant because both the eastward and northward velocities are the same throughout their respective segments of motion.
Therefore, the correct statement is: "Her velocity is constant because her direction is constant."