# 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

**Answers can be viewed only if**

- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.

1 Attachment

- answered
- 319 views
- $2.00

### Related Questions

- When is Galois extension over intersection of subfields finite
- How to properly write rational exponents when expressed as roots?
- Algebra question
- Absolute value functions.
- Is the $\mathbb{C}$-algebra $Fun(X,\mathbb{C})$ semi-simple?
- Use first set of data to derive a second set
- Fluid Mechanics - algebra
- Tensor Product II