Answer:
Step-by-step explanation:
The equation used to represent the height of the ball, h in feet after t seconds is expressed as
h = -16t² + 48t + 8
The equation is a quadratic equation. The plot of this equation on a graph would form a parabola whose vertex would be equal to the maximum height travelled by the ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -16
b = 48
Therefore,
Vertex = - 48/2 × - 16 = 48/32 = 1.5 seconds
So the ball will attain maximum height in 1.5 seconds.
To determine the maximum height, we would substitute t = 1.5 into the given equation. It becomes
h = -16(1.5)² + 48(1.5) + 8
h = - 36 + 72 + 8 = 44 feet
