A stationary sonar buoy sends a pulse into seawater

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

A stationary sonar buoy sends a 1500 Hz1500\,\text{Hz} pulse into seawater, where the speed of sound is 1500 m ⁣⋅ ⁣s−11500\,\text{m}\!\cdot\!\text{s}^{-1}. The pulse reflects from a submarine moving directly toward the buoy, and the buoy detects the returning echo at 1575 Hz1575\,\text{Hz}. What is the submarine’s speed and direction? (a) 37 m ⁣⋅ ⁣s−137\,\text{m}\!\cdot\!\text{s}^{-1} away from the buoy (b) 75 m ⁣⋅ ⁣s−175\,\text{m}\!\cdot\!\text{s}^{-1} toward the buoy (c) 37 m ⁣⋅ ⁣s−137\,\text{m}\!\cdot\!\text{s}^{-1} toward the buoy (d) 26 m ⁣⋅ ⁣s−126\,\text{m}\!\cdot\!\text{s}^{-1} toward the buoy

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