What is the maximum height, in feet, the ball will attain?

Step-by-step explanation:

We know that the equation that models the height of a projectile as a function of time is:

Where:

is the initial velocity

is the initial height of the projectile.

In our case, the height of the machine is 2 ft.

Then

The initial speed is 120 ft/s.

So the equation of the height for this case is:

This is a quadratic equation whose main coefficient is negative.

The maximum value of the function is at its vertex.

For a quadratic function of the form:

the vertex of the equation is given by the expression:

In this case:

Then the maximum point occurs instantly:

Finally the maximum atura is:

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