Physics

Problem

In a region of the ocean the speed of sound increases by

1.5\,\text{m s}^{-1}

for every

1^{\circ}\text{C}

rise in temperature. A sonar set is calibrated for

15^{\circ}\text{C}

water where it takes

v_0 = 1450\,\text{m s}^{-1}

. If the water temperature at a particular spot is

25^{\circ}\text{C}

and the round-trip time recorded for an ultrasonic pulse is

2.00\,\text{s}

, determine the actual depth of the water at that spot. a)

1480\,\text{m}

2930\,\text{m}

1465\,\text{m}

1450\,\text{m}