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)%0D%0AResponses%0D%0A%0D%0AHector's velocity did not change because his speed did not change.%0D%0AHector's velocity did not change because his speed did not change.%0D%0A%0D%0AHector's velocity did not change because his direction did not change.%0D%0AHector's velocity did not change because his direction did not change.%0D%0A%0D%0AHector's velocity changed because his speed changed.%0D%0AHector's velocity changed because his speed changed.%0D%0A%0D%0AHector's velocity changed because his direction changed.
Hector's velocity changed because his direction changed.
To determine whether Hector's velocity changed or not, let's break down the given information.
First, Hector headed due south at a speed of 3 m/s. This means that his initial velocity was in the south direction with a magnitude (speed) of 3 m/s.
Then, Hector turned west and continued at the same speed for another three blocks. Since he turned west, his direction changed from south to west. However, his speed remained the same at 3 m/s.
Now, let's analyze the options provided:
1. Hector's velocity did not change because his speed did not change.
2. Hector's velocity did not change because his speed did not change.
3. Hector's velocity did not change because his direction did not change.
4. Hector's velocity did not change because his direction did not change.
5. Hector's velocity changed because his speed changed.
6. Hector's velocity changed because his speed changed.
7. Hector's velocity changed because his direction changed.
The correct option is 7. Hector's velocity changed because his direction changed. Although his speed remained constant, his velocity changed because velocity is a vector quantity that includes both magnitude (speed) and direction. When he turned west, his direction changed, resulting in a change in his velocity.