Here are my calculations.

Using 1,000 yards as an example: the distance is 3,000 ft, the flight time for the bullet in question (from the Remington calculator) is 2.005 seconds at 25 ft elevation (altitude for Sacramento), so the average velocity is 3,000 ft/2.005 sec = 1,496.3 ft/sec.

Sacramento is at 38.556 degrees latitude. The horizontal Coriolis effect or “force” is given by the following equation:

F = 2 * Omega(angular velocity of the Earth) * sin(latitude)

= 2 * 0.00007292 rad/sec * sin(38.556) = 0.0000909 / sec

If this force acts on an item with velocity V, then the acceleration is:

A = FV, where V is the average speed over the time.

A = 0.0000909 / sec * 1,496.3 ft/sec = 0.136 ft/sec^2

Now we get the distance traveled over time by:

D = 0.5 * A * T^2

D = 0.5 * 0.136 ft/sec^2 * (2.005 sec)^2 = 0.273 ft = 3.28 inches

For the altitude difference, I used these calculations.

1 – 2*(rotation of the earth, rad/s * muzzle velocity / G)*cos(latitude)*sin(azimuth)), where azimuth is measured clockwise from due north.

Firing due west, we get:

= 1 – 2*( (0.00007292 rad/s * 2820 ft/s / 32.2 ft/s^2) * cos(38.555556)*sin(270) )*

= 1 – 2( 0.006386 * 0.782 * -1)

= 1 – (- 0.009988) = 1.009988

The drop for this round at the 25 ft altitude is normally 2.35 inches at 100 yards, and 559.4 inches at 1,000 yards. With the multiplier the new drops are 2.37 inches at 100 yards and 565 inches at 1,000 yards. So the shooter must raise her aim 0.02 inches at 100 yards, and 5.6 inches at 1,000 yards. For a due east firing, the only thing which is different in the above equation is the azimuth, which becomes 90. sin(90) = 1, so in effect we can quickly calculate that firing due east results in a multiplier of:

= 1 – (0.009988) = 0.990012

Thus the drop is now 2.35 * 0.990012 = 2.33 inches at 100 yards, and 559.4 * 0.990012 = 553.8 inches at 1,000 yards, for a lowered aim (you lower your aim if the bullet isn’t going to drop as much) of 0.02 and 5.6 inches respectively.

Edited to add: here is the link to the Remington calculator. I used the downloadable version of the software, which has more options, rather than the web-based one.

http://www.remington.com/pages/news-and-resources/ballistics.aspx