MAT 1222 Rasmussen University Applications of Quadratic Equations Exercises

Review the

slideshow

. After reviewing the slideshow, answer the three questions about the volcano projectile. Remember to type and save your assignment as a Microsoft Word document and show all your work.

• EYJAFJALLAJÖKULL IS A VOLCANO IN
ICELAND. IN A RECENT ERUPTION A
PROJECTILE IS EJECTED WITH AN INITIAL
VELOCITY OF 304 FEET PER SECOND.
• THE HEIGHT, H, IN FEET IS GIVEN BY THE
EQUATION:
H = –16t2 + 304t
WHERE T IS THE TIME IN SECONDS
• WE WILL USE THE EQUATION THAT
TRACES THE PATH OF THE PROJECTILE TO
DETERMINE THE FOLLOWING
INFORMATION:
1. THE TIME IT TAKES THE PROJECTILE TO
REACH ITS HIGHEST POINT.
2. THE MAXIMUM HEIGHT OF THE
PROJECTILE.
3. THE TIME IT TAKES THE PROJECTILE TO
RETURN TO THE GROUND.
o PART 1: HOW LONG DOES IT TAKE THE
PROJECTILE TO REACH IT’S MAXIMUM
HEIGHT.
O USE THE VERTEX FORMULA TO
DETERMINE THE TIME IT TAKES THE
PROJECTILE TO REACH ITS MAXIMUM
HEIGHT
-D
t =
2a
o PART 2: FIND THE MAXIMUM HEIGHT OF
THE PROJECTILE
• USE THE RESULT FROM PART 1 TO FIND
THE MAXIMUM HEIGHT OF THE
PROJECTILE.
o PART 3: FIND THE TIME IT TAKES THE
PROJECTILE TO RETURN TO THE GROUND.
ASSUME THAT THE PROJECTILE STARTS AT
HEIGHT H = 0.
• SOLVE BY FACTORING TO FIND THE TIME
IT TAKES THE PROJECTILE TO RETURN TO
THE GROUND
• THE ASSIGNMENT MUST BE SUBMITTED AS A MICROSOFT WORD
DOCUMENT.
o INTERPRET ALL ANSWERS IN THE CONTEXT OF THE PROBLEM.
• USE THE EQUATION EDITOR FEATURE OF WORD TO FORMAT ALL
STEPS WORK SHOWN.
• SHOW ALL WORK AND EXPLAIN ALL STEPS.