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 did not change because his direction did not change.
Hector's velocity did not change because his direction did not change.

Hector's velocity changed because his speed changed.
Hector's velocity changed because his speed changed.

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 direction changed.

Hector's velocity did not change because his speed did not change.

The correct answer is: Hector's velocity changed because his direction changed.

To determine which of the statements is true about Hector's velocity, we need to understand the definitions of velocity, speed, and direction.

Velocity is a vector quantity that includes both speed and direction. It describes the rate at which an object moves in a specific direction.

Speed, on the other hand, is a scalar quantity that only includes the magnitude of the rate of motion without specifying direction.

In Hector's case, we are given that he traveled due south at a speed of 3 m/s and then turned west, continuing at the same speed for another three blocks.

Let's break down Hector's motion:

1. Heading due south at 3 m/s: Hector is moving in a straight line at a constant speed of 3 m/s due south. His velocity includes both the magnitude (3 m/s) and the direction (south).

2. Turning west and continuing at the same speed for another three blocks: Hector changes his direction from heading due south to heading west, but his speed remains constant at 3 m/s.

Based on this information, we can determine that Hector's velocity changed because his direction changed. Therefore, the correct statement is:

Hector's velocity changed because his direction changed.