Final answer:
In physics, speed and velocity are related but different concepts. For two objects to have the same speed but different velocities, they must be moving in different directions.
Step-by-step explanation:
In physics, speed and velocity are related but different concepts. Speed is a scalar quantity that represents how fast an object is moving, while velocity is a vector quantity that includes both speed and direction. So, for two objects to have the same speed but different velocities, they must be moving in different directions.
For example, let's say cart A is moving to the right with a speed of 5 m/s, while cart B is moving to the left with the same speed of 5 m/s. Both carts are traveling at the same speed but in opposite directions. Therefore, their velocities are different.