Answer:
The answer to your question is 2 seconds
Step-by-step explanation:
Data
function y = -14x² + 56x
maximum height = ?
Process
1.- Find the derivative of the function
y' = -28x + 56
2.- Equal to zero the result
-28x + 56 = 0
3.- Solve for x
-28x = - 56
x = -56/-28
x = 2
4.- Conclusion
It takes to the ball 2 seconds to reach the maximum height.
Answer:
Step-by-step explanation:
The equation used to represent the height of the soccer ball in feet x seconds after it is kicked is expressed as
y = -14x² + 56x
The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the soccer ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -14
b = 56
Vertex = - - 56/2 × 14= 56/28 = 2
So the soccer ball will reach its maximum height in seconds 2 seconds.
