Hector went to the music store by heading due south at 3 m/s, then turning West and continuing at the same speed for another three blocks. Which of the following is true about Hector's velocity?
A Hector's velocity changed because his speed changed.
B Hector's velocity did not change because his direction did not change.
C Hector's velocity did not change because his speed did not change.
D Hector's velocity changed because his direction changed.
The correct answer is D) Hector's velocity changed because his direction changed.
Velocity is a vector quantity that includes both magnitude (speed) and direction. In this scenario, Hector initially moved due south, and then turned west. By changing his direction from south to west, his velocity changed as well. Since velocity is a vector quantity, any change in direction results in a change in velocity.
The correct answer is B) Hector's velocity did not change because his direction did not change.
Velocity is a vector quantity that takes into account both magnitude (speed) and direction. In this scenario, Hector's speed (3 m/s) remained constant throughout. However, his direction changed from heading due south to heading west. Since the velocity vector only considers the magnitude and direction, and not the position or path traveled, Hector's velocity did not change because his direction did not change.
To determine which of the options is true about Hector's velocity, let's first understand what velocity is. Velocity is a vector quantity that combines both speed (the magnitude of the velocity) and direction (the direction of motion).
In this scenario, Hector initially heads due south at a speed of 3 m/s. The direction is then changed to the west, but the speed remains constant at 3 m/s for another three blocks.
Option A states that Hector's velocity changed because his speed changed. However, the speed remained constant at 3 m/s, so the speed did not change.
Option B states that Hector's velocity did not change because his direction did not change. This statement is incorrect because Hector did change direction from south to west.
Option C states that Hector's velocity did not change because his speed did not change. Since Hector's speed remained constant at 3 m/s, this statement is correct. The speed is consistent, so the velocity does not change.
Option D states that Hector's velocity changed because his direction changed. This statement is correct because Hector did change direction from south to west. Changing direction alters the velocity.
Therefore, the correct answer is C: Hector's velocity did not change because his speed did not change.