Final answer:
The question requires understanding the relativistic velocity addition formula, which is necessary when calculating the relative speeds of objects moving at a significant fraction of the speed of light (c).
Step-by-step explanation:
The question involves concepts from special relativity, particularly the addition of velocities. This area of physics deals with how the speed of light (c) is a constant in all inertial frames and how velocities transform from one frame to another moving at a relativistic speed (close to the speed of light).
Relative Velocity of Spaceships and Objects in Relativistic Motion
When calculating the relative velocity of objects moving at a significant fraction of the speed of light, one cannot simply add and subtract velocities as in classical mechanics. Instead, the relativistic velocity addition formula must be used:
β = (u+v)/(1+(uv/c²))
Where β is the relative velocity, and u and v are the velocities of the two objects as measured in a given reference frame.
To answer such questions correctly, replace u and v with the given speeds and solve for β. It's important to account for the direction of motion to determine whether to add or subtract the velocities in the formula.