Question

In the year 21XX, the United States Space Force builds a cannon to protect an American moon colony from attack by Russian cosmonaut ground forces. The cannon is stationed on the surface of the moon,wheregravitationalforcescauseallprojectilestoacceleratedownwardataconstant rateof1.62meterspersecondsquared. The CIAhasinterceptedcommunicationsindicatingthat Russianforceswillattempttomarchthroughanearbymountainrangebeforelaunchingasneak attack on the moon colony. The Space Force plans to surprise the Russian forces by launching a missile from the cannon so that the missile sails just over the top of the moon mountain Mons Hadley, 116.7 kilometers away, and hits an abandoned Russian field operations center at the same altitude as the colony, 323.9 kilometers away from the cannon. Assuming that the missile does not propel itself during flight, determine the angle from the ground at which the cannon should be fired, and what velocity the missile should have when it leaves the cannon. Do this in two different ways: one using any technological tool of your choice (but explaining carefully what you are using and how you are using it), and one using algebraic methods that can be performed mostly by hand. could you please if you use 4 explain how you come with it ?

Answer 1