Matt is walking 1.25 miles to the east.Jaime is walking 1.25 miles to the west.Which statement describes the movement of matt and jaime
They have different speeds but the same velocity
They have the same speed but different velocities
They have different speeds and different velocities.
They have the same speed and same velocity
They have different speeds and different velocities.
To determine the statement that describes the movement of Matt and Jaime, we must first understand the concepts of speed and velocity.
Speed refers to how fast an object is moving. It is calculated by dividing the distance traveled by the time taken to cover that distance. In this case, both Matt and Jaime travel a distance of 1.25 miles.
Velocity, on the other hand, includes both the speed and direction of an object's motion. It specifies how fast and in which direction the object is moving. In this scenario, Matt is moving 1.25 miles to the east, while Jaime is moving 1.25 miles to the west. Therefore, they have opposite directions.
Now let's consider the provided statements:
1. They have different speeds but the same velocity: This statement is incorrect. Matt and Jaime may have the same speed (1.25 miles) but they have different velocities since they are moving in opposite directions.
2. They have the same speed but different velocities: This statement is correct. Matt and Jaime indeed have the same speed (1.25 miles) but their velocities are different since they have opposite directions of travel.
3. They have different speeds and different velocities: This statement is incorrect. While their speeds may be the same (1.25 miles), their velocities differ. One is moving east, and the other is moving west.
4. They have the same speed and same velocity: This statement is incorrect. Although their speeds are the same (1.25 miles), their velocities differ due to their opposite directions of movement.
Therefore, the correct statement is: They have the same speed but different velocities.
Matt is walking 1.25 miles to the east, which means he is moving in the positive direction. On the other hand, Jaime is walking 1.25 miles to the west, which means he is moving in the negative direction.
Since Matt and Jaime are walking in opposite directions (east and west), they have different velocities.
Therefore, the correct statement is: They have different speeds and different velocities.