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 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. Her velocity is constant because her direction is constant.
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 combines both speed and direction. Speed, on the other hand, is a scalar quantity that represents how fast an object is moving. Direction indicates the path an object is taking.
In this case, the student walks east for 100 meters in 2 minutes. Since both the distance and time are given, we can calculate the speed for this part of the journey by dividing the distance traveled (100 meters) by the time taken (2 minutes). This gives us a speed of 50 meters per minute when walking east.
Next, the student walks north for 200 meters in 4 minutes. Again, we can calculate the speed by dividing the distance (200 meters) by the time (4 minutes). This gives us a speed of 50 meters per minute when walking north.
From the calculations, we can see that the speed remains constant throughout the journey, with a value of 50 meters per minute. Therefore, the statement "Her velocity is constant because her speed is constant" is true.