The movie "the gods must be crazy" begins with a pilot dropping a bottle out of an airplane. it is recovered by a surprised native below, who thinks it is a message from the gods. if the plane from which the bottle was dropped was flying at an altitude of 500. m, and the bottle lands 400. m horizontally from the initial dropping point, how fast was the plane flying when the bottle was released?

Asolid cylinder and a cylindrical shell have the same mass, same radius, and turn on frictionless, horizontal axles. the cylindrical shell has light-weight spokes connecting the shell to the axle. a rope is wrapped around each cylinder and tied to blocks of equal masses that are held the same height above the ground. both blocks are released simultaneously. the ropes do not slip. which block hits the ground first? or is it a tie?