This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
ThegirlGodishelping🥰💙🫠, let's knock this out. Step 1: Identify the given velocities as vectors. The airplane's velocity is 100 km/hr South. We can represent this as a vector pointing downwards. The wind's velocity is 25 km/hr West. We can represent this as a vector pointing to the left. Since these velocities are perpendicular, we can use the Pythagorean theorem to find the magnitude of the net velocity. Step 2: Calculate the magnitude of the net velocity. Let V_p be the airplane's speed and V_w be the wind's speed. The net velocity V_net is the hypotenuse of a right-angled triangle formed by V_p and V_w. V_net = sqrt(V_p^2 + V_w^2) Substitute the given values: V_net = sqrt((100 km/hr))^2 + (25 km/hr)^2 V_net = sqrt(10000 km)^2/hr^2 + 625 km^2/hr^2 V_net = sqrt(10625 km)^2/hr^2 V_net ≈ 103.0776 km/hr Step 3: Round the result and select the correct option. Rounding to one decimal place, the net velocity is approximately 103.1 km/hr. Comparing this with the given options: A. 103.1 km/hr B. 75.0 km/hr C. 125 km/hr D. 26.9 km/hr The correct option is A. The final answer is A. 103.1 km/hr. Send me the next one 📸