Matt is walking at 1.25 miles per hour to the east. Jaime is walking 1.25 miles per hour to the south. Which statement describes the movement of Matt and Jaime?
1. They have the same speed but different velocities
2. They have different speeds and different velocities
3. They have different speeds but the same velocity
4. They have the same speed and the same velocity
To determine the answer, we need to understand the concepts of speed and velocity.
Speed is the measure of how fast an object is moving. It is defined as the distance traveled per unit of time. In this scenario, Matt and Jaime are both walking at 1.25 miles per hour, so they have the same speed.
Velocity, on the other hand, is the measure of the rate at which an object changes its position in a particular direction. It includes both speed and direction. In this case, Matt is walking to the east, and Jaime is walking to the south. Since they are moving in different directions, they have different velocities.
Based on this information, the correct statement is:
1. They have the same speed but different velocities.
2. They have different speeds and different velocities
The correct statement is: 2. They have different speeds and different velocities.
Speed is a measure of how fast an object is moving, while velocity not only considers the speed but also the direction of the movement.
In this scenario, Matt is moving to the east, while Jaime is moving to the south. Since they are moving in different directions, their velocities are also different. Additionally, the fact that they are both moving at a speed of 1.25 miles per hour does not change the fact that their velocities differ.