Hot air balloon takes off from edge of the plateau. Impose the coordinate system and suppose that path balloon follows is graph of quadratic function y=f(x)=-4/2500x^2+4/5x. Land drops at the constant incline from plateau at the rate of 1 vertical foot for every 5 horizontal feet. Reply the questions:
a) Determine max height of balloon above plateau level?
b) Determine max height of balloon above ground level?
c) where does balloon land on ground?
d) where is balloon 50ft above ground?