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At time t=0, a Vampire, (or a supersonic ASCM = Anti-Ship Cruise Missile) is spotted at the optical horizon of the ship which is 35

At time t=0, a "Vampire", (or a supersonic ASCM = Anti-Ship Cruise Missile) is spotted at the optical horizon of the ship which is 35 km from the ship, and at time. The Vampire is traveling directly towards the ship at 10 feet "off the deck" (or, altitude) at Mach 2.5 (or 2.5 times the speed of sound; Mach 1 which is the speed of sound, is approximately 1100 ft/sec at sea level). The ship immediately launches an interceptor to defeat the Vampire, and the interceptor has an average velocity to the intercept point of Mach 3. At what time in seconds & range from the ship in nautical miles (nmi) does the intercept occur? (Assume this is a one-dimensional problem: in calculating ranges, just calculate one-dimensional ranges...i.e., don't worry about the ACSM altitude).

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