Height of The Projectile and Time Since Launch Questions

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.

Submit your completed assignment by following the directions linked below. Please check the Course Calendar for specific due dates.

Save your assignment as a Microsoft Word document. (Mac users, please remember to append the “.docx” extension to the filename.) The name of the file should be your first initial and last name, followed by an underscore and the name of the assignment, and an underscore and the date. An example is shown below:

Module 05 Practice Homework
A volcano has erupted and it has ejected a projectile whose trajectory is given by the
equation 𝐻 = −12𝑡 2 + 114𝑡 where 𝐻 is the height of the projectile (in feet) and 𝑡 is the time
since launch (in seconds).
1. Find the time it takes for the projectile to reach its maximum height.
2. Find the height of the projectile at the maximum.
3. Find how long it takes for the projectile to return to the ground.
Solution
Male
female
A
00
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
• 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
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.