A submarine is moving directly toward a vertical under-water cliff

PHYSICS · Multi-part · IGCSE · Physics · Waves · Waves

Problem

A submarine is moving directly toward a vertical under-water cliff. It fires an ultrasonic pulse and receives the echo 2.0 s2.0\,\text{s} later. Ten seconds afterwards, it fires a second pulse and receives the echo 1.8 s1.8\,\text{s} later. The speed of sound in seawater is 1500 m/s1500\,\text{m/s}. (a) Calculate the distance of the submarine from the cliff at the moment of the first pulse. (b) Determine the speed at which the submarine is moving toward the cliff.

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