Final answer:
To find a cartesian equation for the curve and identify it, we can use the given knowns v = 0.500c and u' = c. Plugging these values into the equation u = (v + u') / (1 + (v * u')), we can calculate the value of u. The resulting cartesian equation represents a relationship between velocity and relative velocity in physics.
Step-by-step explanation:
In this problem, we are given the knowns v = 0.500c and u' = c, and the unknown u. We can use the equation u = (v + u') / (1 + (v * u')) to find the value of u. Plugging in the known values, we get u = (0.500c + c) / (1 + (0.500c * c)). Simplifying this equation gives us the cartesian equation for the curve. The curve represents a relationship between the velocity of an object (v) and its relative velocity (u) in the context of physics.