Suppose you are an air traffic controller directing the pilot of a plane on a hyperbolic flight path. You and another air traffic controller from a different airport send radio signals to the pilot simultaneously. The two airports are 48 km apart. The pilot's instrument panel tells him that the signal from your airport always arrives 100 μs (microseconds) before the signal from the other airport.

c. Write the equation of the flight path. (Hint: k=2 a )