To determine weather delmar makes the feild goal we need to find the horizantal distance that

the ball has travelled when the height of the ball is .

First write the parametric equation for the vertical position of the ball.

.

Where Initial velocity is , ,, .

Subustiute the values in the parametric equation.

Let .

The equation is in the form of .

Where .

Subustiute the values in the quadratic form of the equation .

Determine the horizantal position of the ball at .

.

Now graph both the parametric equations and .

Graph :

.

Observe the graph :

The line intersects the parametric equations at .

Therefore, the ball will travel the distance of about before the height reaches a second time.

Area of the feild is yards.

There are , so the distance of the feild goal is .

Since the vertical position of the ball will not reaches until it acheives a horizantal distance of .

Therefore, delmar will make a feild goal.

Yes, Delmar will make a feild goal.