Mathematics · Gravitation and Satellites

Consider the following statements regarding satellite motion and orbital mechanics: 1. Rockets are usually launched from west to east near the equator to take advantage of the Earth's rotational speed. 2. For two artificial satellites revolving around the Earth, one close to the surface and the other far away, the satellite revolving close to the Earth has a larger orbital speed. 3. The orbital time period is larger for a satellite revolving further away from the surface of the Earth. Which of the statements given above are correct?