An observer moves at a constant speed v₀ parallel to a regular service of buses. The buses operate in both directions at a constant speed v_b (where v_b > v₀ ) with a departure time period T . Consider the following statements: A. The spatial distance between two consecutive buses moving in the same direction is (v_b - v₀)T . B. The time interval between the observer's encounters with buses moving in the opposite dir

Step-by-step solution

Statement A is incorrect: The spatial distance between consecutive buses depends only on the bus speed and departure period, given by d = v_b T , which is independent of the observer's speed. Statement B is correct: The time interval for opposite direction encounters is t_ opp = d v_b + v₀ = v_b T v_b + v₀ . Since v_b + v₀ > v_b , it follows that t_ opp Statement C is correct: The time interval for same direction encounters is t_ same = d v_b - v₀ = v_b T v_b - v₀ . As v₀ increases, the denominator (v_b - v₀) decre