the path of a golf ball hit at an angle of about 10 ° to the horizontal can modelled by the function vertex of h= -0.002d²+0.4d. what is the maximum height reached by the ball?

Answer 1

d- coordinate of vertex is:

dv = - b / 2 a = - 0.4 / 2 ∙ ( - 0.002 ) = - 0.4 / - 0.004 =100

h = - 0.002 d² + 0.4 d

h max = h(100) = - 0.002 ∙ ( 100 )² + 0.4 ∙ 100 =

- 0.002 ∙ 10000 + 40 = - 20 + 40 = 20

Answer 2

as with any parabola y=ax^2+bx+c the vertex is at
( -b/2a , (4ac-b^2)/4a )