SOLUTION:  A rocket is launched from 180 feet above the ground at time t=0 . The function that models this situation is given by h=-16t^2+96t+180 , where t is measured in seconds

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION:  A rocket is launched from 180 feet above the ground at time t=0 . The function that models this situation is given by h=-16t^2+96t+180 , where t is measured in seconds       Log On


   

Question 1052405:  A rocket is launched from 180 feet above the ground at time t=0 . The function that models this situation is given by h=-16t^2+96t+180
, where t is measured in seconds and is height above the ground measured in feet.
 What is a reasonable domain restriction for t in this context?
 Determine the height of the rocket two seconds after it was launched.
 Determine the maximum height obtained by the rocket.
 Determine the time when the rocket is 100 feet above the ground.
 Determine the time at which the rocket hits the ground.
 How would you refine your answer to the first question based on your response to the second and fifth questions?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Rockets have thrust, and accelerate upwards.
Have you ever seen a rocket launch?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
See the lessons
    - Problem on an arrow shot vertically upward
    - Problem on a ball thrown vertically up from the top of a tower
in this site.

You will find similar solved problems there. Consider them as samples.
Then solve your problem using the same logic and the same technique.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Projectiles launched/thrown and moving vertically up and dawn".