To determine if two objects are moving at the same speed relative to each other, you need to compare their velocities in a common frame of reference. Here's a general approach to determine if two objects have the same speed relative to each other:
Identify a reference frame: Choose a frame of reference that is convenient for your analysis. This could be an observer on the ground, a stationary object, or any other point of reference.
Measure velocities: Determine the velocities of both objects in the chosen reference frame. The velocity is a vector quantity that includes both magnitude (speed) and direction. To calculate the velocity, you need to measure the displacement (change in position) of each object over a given time interval.
Compare magnitudes: Compare the magnitudes of the velocities of the two objects. If their speeds (magnitude of velocities) are the same, then they are moving at the same speed relative to each other.
Consider the direction: Additionally, consider the direction of motion. If the magnitudes of the velocities are the same but the directions are opposite, then the objects are moving at the same speed but in opposite directions. If the magnitudes and directions are the same, the objects are moving at the same speed in the same direction.
It's important to note that the concept of relative speed depends on the chosen frame of reference. Different observers in different frames may perceive different relative speeds between the objects.