Question

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = -16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent?

Answer 1

t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground

t = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground

t = 3; it takes 3 seconds to reach the maximum height and 3 seconds to fall back to the ground

t = 3; it takes 3 seconds to reach the maximum height and 6 seconds to fall back to the ground

Answer 2

h(x)=–16t^2+48t
v(x)=-32t+48
The ball reaches maximum height when velocity equals zero...
48=32t
t=1.5s
h(1.5)=36
h(3)=0
So B. is the correct answer...