Assignment:
Consider two observers moving in the x direction with respect to a stationary reference frame. The worldline of one observer is given by x1 = (1/3)t while that of the other is given by x2 = (1/18)t^2.
(a) Determine the event at which the two observers meet after leaving the origin.
(b) Determine the proper time measured by both observers between the origin and the point found in part (a).
Provide complete and step by step solution for the question, use formulas.