Two LORAN stations are placed 150 miles apart along a straight shore and act as the foci of a hyperbola. A ship records a time difference of 0.0005 second between the LORAN signals. Set up a rectangular coordinate system to determine where the ship would reach shore if it were to follow the hyperbola corresponding to this time difference. The speed of radio-signals is 186000 miles per second.
What is the equation of the hyperbola?
SHOW ME HOW TO SET IT UP PLEASE
2007-10-18 19:09:23 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Physics
A hyperbola is the locus of points where the difference in the distance to two foci is constant. see diagram
http://en.wikipedia.org/wiki/Image:Hyperbool.png
Then the distance B1 B2 =150 miles
and d2-d1=ct
it reaches shore at x=d1 where d1+d2=150 and d2-d1=ct
solve the equations for d1
2007-10-18 19:59:57 · answer #1 · answered by meg 7 · 1⤊ 0⤋