A detective is interested in finding the depth of a well where he believes a criminal has
hidden a gun. The detective drops a stone into the well, and measures the time before a
splash is heard. The total time t consists of the time it takes for the stone to hit the water
t1 and the time it takes for the sound to travel from the surface of the water to the
detectives’ ear t2. If g is acceleration due to gravity, d the depth of the well and c the
speed of sound in air,
find a sensible solution for the depth of the well given that
the detective counts 2.5 seconds before hearing the splash
Take g as 9.81 m/ s2 and c as the speed of sound in air at atmospheric pressure and 20°C is the temperature of the water
hidden a gun. The detective drops a stone into the well, and measures the time before a
splash is heard. The total time t consists of the time it takes for the stone to hit the water
t1 and the time it takes for the sound to travel from the surface of the water to the
detectives’ ear t2. If g is acceleration due to gravity, d the depth of the well and c the
speed of sound in air,
find a sensible solution for the depth of the well given that
the detective counts 2.5 seconds before hearing the splash
Take g as 9.81 m/ s2 and c as the speed of sound in air at atmospheric pressure and 20°C is the temperature of the water