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?
Hector's velocity did not change because his speed did not change.
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 changed because his direction changed.
The correct answer is: Hector's velocity changed because his direction changed.
Velocity is a vector quantity that includes both the speed and direction of an object's motion. In this case, Hector's speed remained constant at 3 m/s, but his direction changed from due south to west. Since the direction of his motion changed, his velocity also changed.
To determine the answer, 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 indicates how fast an object is moving.
From the information provided, we know that Hector traveled due south at a speed of 3 m/s. Since velocity includes both speed and direction, we can say that Hector had an initial velocity vector pointing due south with a magnitude of 3 m/s.
After traveling south, Hector makes a turn to the west without changing his speed. This change in direction means that Hector's velocity vector also changes. Therefore, the correct answer is:
Hector's velocity changed because his direction changed.