Math Problem Statement

Trying to determine its depth, a rock climber drops a pebble into a chasm and hears the pebble strike the ground 4.00 s later. (a) If the speed of sound in air is 343 m/s at the rock climber's location, what is the depth of the chasm?

(b) What is the percentage of error that would result from assuming the speed of sound is infinite?

Solution

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Math Problem Analysis

Mathematical Concepts

Kinematics
Speed of Sound
Time
Distance

Formulas

d = (1/2)gt^2
d = v_sound * t_sound
t_total = t_fall + t_sound

Theorems

Kinematic equations for free fall
Speed of sound in air

Suitable Grade Level

Grades 10-12

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