Place a half dollar a quarter and a nickel in position a as shown in the figure below. try to move these coins, one at a time to position c. at no time may a larger coin be placed on a smaller coin. how many moves does it take to get them to position c?

The 40th parallel of north latitude runs across the united states through philadelphia, indianapolis, and denver. at this latitude, earth’s radius is about 3030 miles. the earth rotates with an angular velocity of latex: \frac{\pi}{12} π 12 radians (or 15°) per hour toward the east. 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. how fast in miles per hour would the jet have to travel west at the 40th parallel for this to happen? show your work and explain your process.