A Fissure in the Earth Appeared After an Earthquake

question 7

Multiple Choice

A fissure in the earth appeared after an earthquake. To measure its vertical depth, a stone was dropped into it, and the sound of the stone's impact was heard 3.3 seconds later. The distance (in feet) the stone fell is given by , and the distance (in feet) the sound traveled is given by . In these equations, the distances traveled by the sound and the stone are the same, but their times are not. Using the fact that the total time is 3.3 seconds, find the depth of the fissure. Round your answer to two decimal places. ​

• A) 94.19 feet
• B) 91.00 feet
• C) 121.98 feet
• D) 126.38 feet
• E) 126.48 feet

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Definitions:

Static Equilibrium

A state where an object is at rest, and the sum of all forces and torques acting on it is zero.

Macula

A small, specialized area on the retina responsible for sharp, detailed central vision.

Utricle

A part of the inner ear involved in sensing linear accelerations and head-tilts in the horizontal plane, contributing to balance and spatial orientation.

Semicircular Canals

Structures in the inner ear that are part of the vestibular system, helping to control balance and spatial orientation by detecting rotational movements.