Matt is walking at 1.25 miles per hour to the east. Jaime is walking at 1.25 miles per hour to the south. Which statement describes the movement of Matt and Jaime?
A: They have different speeds and different velocities
B: They have different speeds but the same velocity
C: They have the same speed and the same velocity
D: They have the same speed but different velocities
D: They have the same speed but different velocities.
Speed is the rate at which an object moves, while velocity is the rate at which an object moves in a specific direction. Matt and Jaime are moving at the same speed of 1.25 miles per hour, but in different directions (east and south), so they have different velocities.
The correct answer is D: They have the same speed but different velocities.
Explanation: Speed is a scalar quantity and refers to how fast an object is moving. In this scenario, both Matt and Jaime are walking at the same speed of 1.25 miles per hour.
Velocity, on the other hand, is a vector quantity and includes both speed and direction. Matt is walking to the east, while Jaime is walking to the south. Since they are moving in different directions, their velocities are different.
To determine the answer to this question, we need to understand the difference between speed and velocity. Speed is a scalar quantity that measures how fast an object is moving without considering its direction. On the other hand, velocity is a vector quantity that measures both the speed and direction of an object's motion.
In this case, Matt is walking to the east, which indicates a direction, and his speed is 1.25 miles per hour. This means that Matt has both a speed and a velocity. Similarly, Jaime is walking to the south at 1.25 miles per hour, which also indicates a direction and therefore a velocity.
Since Matt and Jaime have different directions (east and south) while both having a speed of 1.25 miles per hour, we can conclude that their velocities are different. Therefore, the correct statement that describes the movement of Matt and Jaime is:
D: They have the same speed but different velocities.