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?

Question

cwrw238 · Answer

the path of the ball follows a parabolic curve. The axis of symmetry represents the displacement of the ball from the starting point when the ball is at maximum height

anonymous · Answer

i know that, but how long will i take to reach it's maximum height, and fall back down to the grown? @cwrw238

cwrw238 · Answer

if you equate to zero and solve you'll get the times when its stars and when it reaches the ground

-16t^2 + 48t = 0
t(-16t + 48) = 0

cwrw238 · Answer

the axis of symmetry will be a half of the time taken for the whole flight - at this time it will be at maximum height

cwrw238 · Answer

so t = 0 and 16t = 48