Assignment:
A satellite circles the earth in such a manner that it is y miles from the equator (north or south, height from the surface not considered) t minutes after its launch, where y=5000[cos( π/45)(t-10)]. At what times t in the interval [0,240], the first 4 hours is the satellite 3000 mi north of the equator?
Provide complete and step by step solution for the question and show calculations and use formulas.