ALGEBRA WORD PROBLEM - Trajectory of a NASA rocket
NASA recently tested a rocket that was launched at their headquarters to find the direction that it would take and how long it would be able to move upwards before making a turn and descend back to the ground. after being tested, the group of scientists carrying out the experiment noticed that the rocket reached its maximum height 5 minutes after being launched. The height that the rocket attains over time is modeled by the following function $F(t)= -2t^2+20t+40$ where $t$ represents the time elapsed in minutes and $F(t)$ is the height attained by the rocket in meters over time.
What is the height of the rocket at 2 minutes, at 3 minutes and at 8?
What is the maximum height that the rocket attains before turning back to the ground?
How long does it take for the rocket to hit the ground as it turns around from it's trajectory?
Use a coordinate system that includes both units of time and height to describe the trajectory of the rocket? label all the info asked to in prev questions.
Show work
Answer
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
- answered
- 600 views
- $2.00
Related Questions
- Integral of trig functions
- Tensor Product II
- How old is the wise man?
- Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller. Find the integers.
- Algebra 2 problem about a ticket system
- Guywire, finding height of the powerpole
- True or false
- Let $f(x,y,z)=(x^2\cos (yz), \sin (x^2y)-x, e^{y \sin z})$. Compute the derivative matrix $Df$.