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

Answer 1

axis of symmetry shows the min/max. its a max in this case and its at t=1.5

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

Answer 2

The axis of symmetry is used to determine the maximum  height reached by tha ball. t= 1.5; it takes 1.5 seconds to reach the maximum height

Axis of symmetry of function

Given the height of a ball modeled by the equation expressed as:

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

The axis of symmetry is used to determine the maximum  height reached by tha ball

v(t) = dh./dt = -32t + 48

32t = 48

t = 48/32

t =1.5seconds

Hence t= 1.5; it takes 1.5 seconds to reach the maximum height

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