Question

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

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

Answer 1

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

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

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

Answer 2

BTW, the 2 in the function above is an exponent. Sorry

Answer 3

h(x)=–16t2+48t

v(x)=−32t+48

When velocity equals zero the ball reaches maximum height.

48=32t

t=1.5s

h(1.5)=36

h(3)=0


So it's,

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