Question

couple Q's for algebra @ranga @iambatman @skullpatrol 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

Answer 1

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

Answer 2

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

Answer 3

i have a couple more but this is the major 1

Answer 4

h(t) = -16t^2+48t

Find the derivative of this (velocity)

v'(t) = -32t+48

Solve for t here.

Answer 5

wait so ' stands for derative?

Answer 6

Yeah should've just put v(t) but it doesn't matter.

Answer 7

im confused i know the word is somthing i shold know but i dont know what it means aka i recognize derative

Answer 8

and sorry if i get a bit distracted i have adhd so im a little werid :P

Answer 9

If you have not been taught derivatives yet, just find the vertex of the parabola:
h = -16t^2 + 48t

Answer 10

Yeah just do what ranga said, guess you haven't done calculus yet.

Answer 11

the equation for vertex is -a/2b right?

Answer 12

nope just finishing algebra 1

Answer 13

the x coordinate of vertex is -b/(2a)

Answer 14

oh backwards :P

Answer 15

:P im still confused, a would be -16 and b would be 48?

Answer 16

This drawing might help you.