a motorcycle goes north at 40 miles per hour. A car goes south at 40 miles per hour on the same street which statement is true.
A. the vehichles have the same speed and velocity
B. the vehicles have the same speed but different velocity.
B. the vehicles have the same speed but different velocity.
The speed of both vehicles is given as 40 miles per hour, but their velocities are different because they are traveling in opposite directions. Velocity includes both speed and direction, so since one vehicle is going north and the other is going south, their velocities are different.
To determine which statement is true, we need to understand the concepts of speed and velocity.
Speed refers to how fast an object is moving and is measured in units such as miles per hour (mph). It only considers the magnitude of the object's motion and does not take direction into account.
Velocity, on the other hand, includes both the speed and direction of an object's motion. It is also measured in units such as miles per hour but includes information about the object's motion in a specific direction.
In the given scenario, the motorcycle is moving north at a speed of 40 mph, while the car is moving south at the same speed of 40 mph.
Statement A: "The vehicles have the same speed and velocity."
This statement is incorrect since although the vehicles have the same speed, their velocities are different since they are moving in opposite directions.
Statement B: "The vehicles have the same speed but different velocity."
This statement is correct because both vehicles are moving at the same speed (40 mph), but their velocities are different due to their motion in opposite directions.
Therefore, the correct answer is B. The vehicles have the same speed but different velocity.
The correct statement is:
B. The vehicles have the same speed but different velocity.
The reason is that speed refers to how fast an object is moving, while velocity takes into account both the speed and direction of motion. In this case, both the motorcycle and the car are moving at the same speed of 40 miles per hour, but in opposite directions (north and south). Therefore, their velocities are different.