Question

Will Give Medal!!!

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?

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; i

Answer 1

what is \[-\frac{b}{2a}\]?

Answer 2

here of course \(a=-16,b=48\)

Answer 3

Ok so when i plug that into the formula i would get -1.5... @satellite73

Answer 4

Oops i meant 1.5

Answer 5

Does anyone know what i do after that...?

Answer 6

yes

Answer 7

that is the first coordinate of the vertex, it represents time

Answer 8

since the leading coefficient is negative (it is -16) the parabola opens down
so it is the time at which you get a maximum

Answer 9

in other words
"it takes 1.5 seconds to reach the maximum height"

Answer 10

Ok...So the answers are between the first and second

Answer 11

Now how do i know when it will fall back down??

Answer 12

yes, but don't think too hard
it if takes 1.5 seconds to go up, how long does it take to go down?

Answer 13

Oh duh probably 1.5...

Answer 14

yup

Answer 15

Lol thanks so much! :)