Sonia walks due east with a speed of two m/s. Bryan walks north with a speed of two m/s. Which statement best describes the relationship between their velocities?
A. Their velocities are different because their speeds are not the same.
B. Their velocities are the same because they are both traveling at two m/s.
C. Their velocities are different because they are walking in different directions.
D. Their velocities are the same because Sonia is walking east and Bryan is walking north.
The correct answer is C. Their velocities are different because they are walking in different directions.
To arrive at this conclusion, we need to understand the difference between speed and velocity. Speed refers to how fast an object is moving, while velocity refers to the speed of an object in a specific direction.
In this scenario, Sonia is walking due east, which means her velocity has a direction of east. Bryan, on the other hand, is walking north, so his velocity has a direction of north. Even though they are both moving at a speed of 2 m/s, the direction of their velocities is different, which makes their velocities different.
To determine the relationship between their velocities, we need to consider both the speed and the direction in which they are moving.