Section 1: Calculation-based questions Please show all your work for full credit (showing your work is worth 2/5 points). Also please pay close attention to the number of significant figures in your answer. In astronomy, some measurements are very precise (e.g. the distance to the Moon is know to better than 6 significant digits), while others are very approximate (the distances to distant galaxies may only be known to 1 order of magnitude - e.g. a factor of 10!). It is important to keep in mind how precisely we are able to measure and calculate numbers in each specific instance. One way to assess how many sig figs to include in your answer is to look at how many are provided in the numbers given in the prompt. For more information about significant figures, see this webpage B. Question 1. Suppose we want to send a spacecraft to visit our nearest star, Alpha Centauri, at a distance of 4.4 lightyears from Earth. Our fastest spacecraft can reach a speed of 40,000 km/hr. How long would it take for the spacecraft to reach Alpha Cen, traveling at a constant velocity? Question 2. The moon has a diameter of 3,475 km, and orbits the Earth at an average distance of 384,748 km. What is the angular size of the Moon? Give your answer in degrees and also in arcminutes.