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.
Responses
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 changed because his speed changed.
Hector's velocity changed because his direction changed.
Hector's velocity changed because his direction changed.
Hector's velocity changed because his direction changed.
To determine which of the given options is true about Hector's velocity, we need to understand the concepts of velocity, speed, and direction.
Velocity is a vector quantity that includes both speed and direction. Speed is the magnitude of velocity and is scalar, representing only the numerical value. Direction indicates the path or orientation of an object's motion.
In this scenario, Hector initially heads due south at a speed of 3 m/s. Since he maintained a constant speed, which is equivalent to maintaining his speed, we can eliminate options 2 and 3.
Now, let's analyze the remaining options:
Option 1: "Hector's velocity did not change because his direction did not change."
Option 4: "Hector's velocity changed because his direction changed."
Since Hector turned west after traveling due south, his direction did change. Therefore, option 1 is incorrect.
Hence, the correct answer is option 4: "Hector's velocity changed because his direction changed."