An elephant stomps the ground creating sound waves in the air and vibrations (waves) in the ground. Sound waves travel through the air at approximately 0.3 km/s, and a vibration of the Earth's crust travels at approximately 6.1 km/s.
a. Write parametric equations that model both waves for 3 s, and graph them on your calculator in an appropriate window.
b. How far does the wave in the ground travel in 3 s? How long does it take the sound wave in the air to travel that same distance?
c. A researcher's equipment detects the sound wave in the air 10 s after detecting the sound vibration in the ground. How far is the elephant from the researcher?