Matt is walking at 1.25 miles per house to the east. Jamie is walking at 1.25 miles per hour to the south. Which statement describes the movement of Matt and Jamie?
a They have different speeds but the same velocity
b They have the same speed but different velocities
c They have different speeds and different velocities
d They have the same speed and the same velocity
c They have different speeds and different velocities
To determine the correct statement, let's first define speed and velocity.
Speed refers to how quickly an object is moving and is a scalar quantity, meaning it only has magnitude. It does not specify the direction of motion.
Velocity, on the other hand, is a vector quantity that includes both speed and direction. It describes the rate at which an object changes its position in a specific direction.
In the given scenario, Matt is walking east at 1.25 miles per hour, while Jamie is walking south at 1.25 miles per hour. Since they are moving in different directions, their velocities will be different because velocity includes both the speed and direction.
Therefore, the correct statement is:
c) They have different speeds and different velocities