1. An airplane travels due north at an airspeed of 800 km/h. It encounters a wind blowing at 70 km/h 65 east of north. What is the resultant velocity of the airplane? 2. The population, P, of a bacteria colony at t hours can be modelled by: P(t) = 100 + 120t + 10:2 + 2:3 a. What is the initial population of the bacteria colony? b. what is the population of the colony at 5 h? c. What is the growth rate of the colony at 5 h? Given that these are math questions, I personally find solutions that are written on paper to be preferable. I need full steps for each question. I appreciate your great help