Rockets allow us to launch spacecraft and satellites into space, which are an essential part of our modern world. However, rocket launches need careful planning, and some places on Earth pro- vide better launch conditions than others. (a) Explain why most rocket launches take place close to the equator. (b) Find an equation v() that calculates the rotational speed of the Earth at latitude . (c) Calculate the rotational speed at 5°S (near the equator) and 80°N (near the pole). Note: The Earth's radius is 6371 km.