Answer:
1). Maximum height achieved by the baseball = 256 units
2). duration for which baseball is in the air = 8 seconds
Step-by-step explanation:
A player hits a second baseball. Path of the baseball is defined by the function g(t) = -16(t - 4)² + 256
By comparing this equation with the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the given equation.
Vertex of the given equation → (4, 256)
Therefore, maximum height the baseball can each = 256 units
And time taken to reach the maximum height = 4 seconds
So the duration of time in which baseball is in the air = Time taken to reach the maximum height + Time taken to come down from maximum height
= 4 + 4
= 8 seconds
