MATT 122 Rasmussen University Equation of The Vertex Algebra Questions

EYJAFJALLAJÖKULL PROJECTILE• PART 3: FIND THE TIME IT TAKES THE
PROJECTILE TO RETURN TO THE GROUND.
ASSUME THAT THE PROJECTILE STARTS AT
HEIGHT H = 0.
=
H = 0,t=0
SOLVE BY FACTORING TO FIND THE TIME
IT TAKES THE PROJECTILE TO RETURN TO
THE GROUND.
H=0,?
EYJAFJALLAJÖKULL PROJECTILE
• THE ASSIGNMENT MUST BE SUBMITTED AS A MICROSOFT WORD
DOCUMENT.
• 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.
EYJAFJALLAJÖKULL PROJECTILE
H
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.
EYJAFJALLAJÖKULL PROJECTILE
H
• PART 1: HOW LONG DOES IT TAKE THE
PROJECTILE TO REACH IT’S MAXIMUM
HEIGHT.
t = ?
• USE THE VERTEX FORMULA TO
DETERMINE THE TIME IT TAKES THE
PROJECTILE TO REACH ITS MAXIMUM
HEIGHT.
-b
t =
2a
EYJAFJALLAJÖKULL PROJECTILE
OH = ?
.
PART 2: FIND THE MAXIMUM HEIGHT OF
THE PROJECTILE
.
USE THE RESULT FROM PART 1 TO FIND
THE MAXIMUM HEIGHT OF THE
PROJECTILE.
EYJAFJALLAJÖKULL PROJECTILE
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
EYJAFJALLAJÖKULL PROJECTILE
• PART 1: HOW LONG DOES IT TAKE THE
PROJECTILE TO REACH IT’S MAXIMUM
HEIGHT.
. t = ?
USE THE VERTEX FORMULA TO
DETERMINE THE TIME IT TAKES THE
PROJECTILE TO REACH ITS MAXIMUM
HEIGHT.
-b
t=
2a