Pre-Calculus, 9th edition
55

 PAGE: 690 SET: Exercises PROBLEM: 55

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 .

.

TESTIMONIALS
 "I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett "Your site is amazing! It helped me get through Algebra." Charles "My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease
 Tweets by @mathskeydotcom

QUESTIONS? LET US HELP.