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) Responses Hector's velocity changed because his direction changed. Hector's velocity changed because his direction changed. Hector's velocity did not change because his direction did not change. Hector's velocity did not change because his direction did not change. Hector's velocity did not change because his speed did not change. Hector's velocity did not change because his speed did not change. Hector's velocity changed because his speed changed.
Hector's velocity changed because his direction changed.
Hector's velocity changed because his direction changed.
To determine Hector's velocity, we need to consider both speed and direction.
First, let's analyze Hector's motion step by step:
1. Hector went due south at a speed of 3 m/s.
2. Then, he turned west and continued at the same speed for three blocks.
From the information given, we can see that Hector's direction changed from south to west. Now, let's break down the answer options based on the changes in velocity:
1. "Hector's velocity changed because his direction changed."
This option correctly states that Hector's velocity changed due to a change in direction.
2. "Hector's velocity did not change because his direction did not change."
This option is incorrect since Hector's direction did change.
3. "Hector's velocity did not change because his direction did not change."
This option is incorrect as it contradicts the information that Hector changed his direction.
4. "Hector's velocity did not change because his direction did not change."
This option is also incorrect as it contradicts the information that Hector changed his direction.
5. "Hector's velocity did not change because his speed did not change."
This option is incorrect because Hector's speed remained constant, but his direction changed, resulting in a change in velocity.
6. "Hector's velocity did not change because his speed did not change."
This option is incorrect because Hector's speed remained constant, but his direction changed, resulting in a change in velocity.
7. "Hector's velocity changed because his speed changed."
This option is incorrect because there is no information provided that suggests Hector's speed changed during his journey.
Based on the analysis, the correct answer is:
Hector's velocity changed because his direction changed.