Pre-Calculus
Unit 12 WS 12-6: Hyperbola Applications
Name:
1. Two microphones, 1 mile apart, records an explosion. Microphone A received the sound 2 seconds
before microphone B.
a.
On what curve (equation) was the explosion? (Sound travels at 1100 feet per second.)
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b. Write an equation that models this situation.
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2. You and your best friend live 4 miles apart (on the same "east-west" street) and are talking on the
phone. You hear a clap of thunder so loud it shakes the entire house. The lights go out. 18 seconds
later, you best friend hears the clap of the thunder, and knows what has happened. Write an equation
that gives the possible place where the lightning could have occurred. Assume the coordinate system
is measured in feet and sound travels at 1100 feet per second.
X
3. Two LORAN stations are positioned 300 miles apart along a straight shore.
(Note: The speed of each radio signal is about 186,000 miles per second)
a. A ship records a time difference of 0.00104 second between the LORAN signals. Write an
equation that models this situation.
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b. If the ship is currently 75 miles off the shore (y-value), what is its position with respect to station
#1.
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\. If the ship wants to en
station #1, what time difference should it be looking for?