Assignment:
Question 1. A projectile is fired straight up at a speed of v0 at a latitude of (alpha) degrees. Show that in the time the projectile is airborne, it is deflected a distance of 4 v0*3 cos(alpha)/3 g^2 to the west.
Question 2. Show that for objects confined to land or for objects in which their net vertical acceleration is small in the inertial reference frame, such as storm systems, the maximum magnitude of the Coriolis force is at the north pole with a maximum magnitude of 2m* (Omega0)* v0, where v0 is the object's speed in the east-north direction, or another words along the ground. Thus, show even for fast moving objects with speeds of say 100 m/s, the ratio of the Coriolis acceleration=to that of g is approximately 0.15 percent.