$\"\"$

\

Karla hits a golf ball off a cliff height is $\"\"$ .

\

The initial speed is $\"\"$ .

\

The angle of elevation is $\"\"$ to the horizontal on moon.

\

The value of $\"\"$ on moon is $\"\"$ .

\

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 $\"\"$ .

\

$\"\"$