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?(1 point)
Responses
The vehicles have the same velocity, but not the same speed.
The vehicles have the same velocity, but not the same speed.
The vehicles have the same speed, but different velocity.
The vehicles have the same speed, but different velocity.
The vehicles have the same speed and velocity.
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.
The statement "The vehicles have the same speed and velocity" is false.
To answer this question, we need to understand the concepts of speed and velocity.
Speed refers to how fast an object is moving. It is a scalar quantity because it only tells us the magnitude or quantity of the motion, but not the direction. Speed is calculated by dividing the distance traveled by the time taken.
Velocity, on the other hand, not only tells us the magnitude of the motion but also the direction. It is a vector quantity that includes both speed and a specific direction. Velocity is calculated by dividing the displacement (change in position) by the time taken.
In this case, the motorcycle is moving north at 40 miles per hour, while the car is moving south at 40 miles per hour. Since they are both traveling at the same speed (40 miles per hour), option 3, "The vehicles have the same speed and velocity," is incorrect.
However, their velocities are not the same. Velocity considers both the magnitude and direction of motion. Since the motorcycle is moving north and the car is moving south, their velocities are opposite in direction. Therefore, option 4, "The vehicles are going in opposite directions, so their speed is not the same," is the correct statement.
So, the correct answer is:
The vehicles are going in opposite directions, so their speed is not the same.