The Adam hits a golf ball off a cliff height is .

The initial speed is .

The angle of elevation is to the horizontal.

The value of .

Time as a parameter in parametric equations are and .

Substitute and in .

.

Substitute , , and in .

.

The parametric equations that model the position of the ball as a function of time is and .

**(b)**

The ball is in the air until, .

and

and .

Time should not be in negative.

.

The ball in the air is .

**(c)**

The horizontal distance .

Substitute .

.

The horizontal distance travelled the ball is .

**(d)**

The maximum height occurs at the vertex of the quadratic function.

.

Substitute in .

.

The maximum height is .

**(e)**

The equations are and .

Graph the equations and .

**(a)** The parametric equations that model the position of the ball as a function of time is and .

**(b)** The ball in the air is .

**(c)** The horizontal distance travelled the ball is .

**(d)** The maximum height is .

**(e)** Graph of the equations and .

.

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