If a jet flies due west with the same angular velocity relative to the ground at the equinox, the Sun as viewed from the jet will stop in the sky. If we assume that, for a given location, Earth’s radius is about 3060 miles and the earth rotates with an angular velocity of π/12 radians (or 15°) per hour toward the east, how fast in miles per hour would the jet have to travel west for this to happen? Show your work and explain your process.