Background On a peaceful day in the not-too-distant future, an enormous, mean-looking alien starship appears in the sky, scaring the people of Earth. Using the power of trigonometry, the students of MAT135 at UTM compute the altitude of the starship by parallax. They conclude the starship is hovering in a geosynchronous orbit 420 kilometres directly above Deerfield Hall. Mote that Deerfield Hall iz 125 metres above sea level. Luckily for humanity, the aliens do not know about the top-secret DH Missile Silo undemeath Deerfield Hall. (You shouldn't tell anyone about it either.) This assignment is the story of what happens next. Problems 1. {1 point) The people of Earth decide to launch a Leibniz V rocket from the DH Missile Silo in an attempt to destroy the starship. Leibniz V rockets are engineered so that after launch at time = (0, they fly straight up. Their altitude above sea level (measured in kilometres) at a time (measured in seconds), denated by A(t), satisfies A(t) = Age fort = 0. The constant p = (is the power coefficient, which can be adjusted on each rocket as necessary. What must the power coefficient be in order for the rocket ta hit the starship in exactly 60 seconds? Give an exact answer, as well as a decimal approximation rounded to three places