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)
Hector's velocity did not change because his
direction did not change.
Hector's velocity changed because his direction
changed.
Hector's velocity changed because his speed
changed.
Hector's velocity did not change because his
speed did not change.
Hector's velocity changed because his direction changed.
Hector's velocity changed because his direction changed.
To determine whether Hector's velocity changed, we need to understand the concepts of velocity, speed, and direction.
Velocity is a vector quantity that refers to the rate at which an object changes its position. It is defined by both magnitude (speed) and direction.
Speed, on the other hand, is a scalar quantity that only refers to the magnitude of an object's motion, without considering its direction.
In this case, Hector first traveled due south at a constant speed of 3 m/s. Since he was only changing his direction, but not his speed, his velocity was not changing. Thus, we can eliminate the options stating that Hector's velocity changed because his speed changed.
Now, let's consider his change in direction. After traveling south, Hector then turns west and continues in that direction for three blocks at the same speed of 3 m/s. Even though his direction changed, his speed remained constant. Therefore, Hector's velocity did not change.
Given this explanation, the correct answer is:
Hector's velocity did not change because his direction did not change.