The projectile will stay in the air for 4 seconds.
The given function is:
[tex]f(x) =-10x(x-4)[/tex], which is a quadratic function.
What is a quadratic function?
A function f(x) in the form of [tex]ax^{2} +bx+c[/tex] a quadratic function.
As we know the equation of projectile motion is a quadratic equation whose non-zero root provides us the time when motion lasts or we can say it provides the time when an object will hit the ground from the time it was launched in the air.
The roots of the given function are 0 and 4.
So, non-zero root i.e. 4 will be the total time for which projectile stays in the air
Therefore, The projectile will stay in the air for 4 seconds.
To get more about projectile motion visit:
https://brainly.com/question/24216590
