height of soccer ball is h(t)=-4.9t2+16t+0.5 what is maximum height of the ball reaches

Answer 1

Re-wording your problem:
find the vertex of the parabola h = -4.9t^2 + 16t + .5

the t of the vertex is -16/(2(-4.9)) = 80/49

the h = -4.9(80/49) + 16(80/49) + .5
= appr 13.56 m