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
The vehicles have the same speed, but different velocity.
The vehicles have the same velocity, but not the same speed.
The vehicles have the same speed and velocity.
The vehicles are going in opposite directions, so their speed is not the same.
The vehicles have the same speed, but different velocity.
To determine which statement is true, we need to understand the concepts of speed and velocity.
Speed is a scalar quantity that refers to the rate at which an object covers distance. It only takes into account the magnitude of the motion and is not concerned with direction. In this case, both the motorcycle and the car are traveling at 40 miles per hour, so their speeds are the same.
On the other hand, velocity is a vector quantity that includes both the magnitude and direction of motion. It indicates the rate at which an object changes its position. In this scenario, since the motorcycle is traveling north and the car is going south, their directions of motion are opposite. Thus, their velocities are not the same.
Therefore, the correct statement is: "The vehicles have the same speed, but different velocity."