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? (1 point)
A. Hector's velocity did not change because his direction did not change.
B. Hector's velocity changed because his direction changed.
C. Hector's velocity changed because his speed changed.
D. Hector's velocity did not change because his speed did not change
B. Hector's velocity changed because his direction changed.
To answer this question, 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 measures how fast an object is moving. Direction refers to the path an object takes to reach its destination.
In Hector's case, he first headed due south at a speed of 3 m/s. This means his velocity had a magnitude (speed) of 3 m/s and a direction (south).
After reaching the music store, Hector turned west and continued at the same speed of 3 m/s for three blocks. His new velocity had the same magnitude (speed) of 3 m/s, but the direction changed from south to west.
Now, let's analyze the options:
A. Hector's velocity did not change because his direction did not change.
This option is incorrect because, as mentioned above, Hector's direction did change when he turned west.
B. Hector's velocity changed because his direction changed.
This option is correct. Hector's velocity changed because his direction changed from south to west.
C. Hector's velocity changed because his speed changed.
This option is incorrect because, according to the information given, Hector's speed remained constant at 3 m/s.
D. Hector's velocity did not change because his speed did not change.
This option is incorrect since, even though Hector's speed remained constant, his velocity changed due to the change in direction.
Therefore, the correct answer is B. Hector's velocity changed because his direction changed.