Matt is walking at 1.25 mph to the east Janie is walking at 12.5 mph to the South which statement describes the movement of Matt and Jamie they have the same speed and the same velocity they have different speeds and different velocities they have different speeds but the same velocity they have the same speed but different velocities
Matt and Janie have different speeds but the same velocity.
Matt is walking to the east at a speed of 1.25 mph, while Janie is walking to the south at a speed of 12.5 mph.
Speed refers to how fast an object is moving, whereas velocity also takes into account the direction of the movement.
In this case, Matt and Janie have different speeds (1.25 mph for Matt and 12.5 mph for Janie) and different velocities (Matt is moving to the east, Janie is moving to the south).
Therefore, the correct statement is: they have different speeds and different velocities.
To determine the movement of Matt and Janie, we need to understand the concepts of speed and velocity.
Speed refers to how fast an object is moving, and it is calculated by dividing the distance traveled by the time taken. Speed is a scalar quantity, meaning it only has magnitude (value) and no direction.
Velocity, on the other hand, not only considers the speed but also the direction of motion. Velocity is a vector quantity, meaning it has both magnitude and direction.
In this scenario, Matt is walking at 1.25 mph to the east, and Janie is walking at 12.5 mph to the south.
Since they are both moving at different speeds (1.25 mph vs. 12.5 mph), they have different speeds and different velocities. Therefore, the correct statement is: "They have different speeds and different velocities."