Using the equation representing the height of the firework (h= -16t^2 + v↓0t + h↓0), algebraically determine the extreme value of f(t) by completing the square and finding the vertex. interpreting what the value represents in this situation. (picture for context of the question)

An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. the wind is blowing with a velocity of 42 miles per hour at an angle of s47°e. find a vector that represents the resultant velocity of the plane relative to the point of takeoff. let i point east, j point north, and k point up.