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
![6Br1Sk](https://matchmaticians.com/storage/user/104225/thumb/AEdFTp5cJay4A3DxhuBO7hkfM7Kks3CDtImVfdxY_nU5-avatar-512.jpg)
Answer
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
![Erdos](https://matchmaticians.com/storage/user/100028/thumb/matchmaticians-3empnt-file-5-avatar-512.jpg)
- answered
- 549 views
- $2.00
Related Questions
- Absolute value functions.
- Let $R$ be an integral domain and $M$ a finitely generated $R$-module. Show that $rank(M/Tor(M))$=$rank(M)$
- Linear Algebra - Matrices (Multiple Choice Question) (1st Year College)
- Please help me with this math question
- Find an expression for the total area of the figure expressed by x.
- Given that $-6x \equiv -8 \pmod{7}$, show that $x \equiv 6 \pmod{7}$
- The Span and Uniqueness of Solutions in a Parametric Matrix
- How to properly write rational exponents when expressed as roots?