The ball is thrown across the playing field from the height of h = 5 ft above ground at the angle of 45° to horizontal at speed of 20 ft/s. It can be reduced from physical principles that path of ball is modeled by function
y= -(32/400)x^2+x+5
where x is distance in feet that ball has traveled horizontally.
1) Determine maximum height obtained by ball.
2) Determine horizontal distance ball has traveled when it hits ground.