Question

The height of a rocket at different times after it was fired is shown in the table.

Time- 0.00 | 1.00 | 2.00 | 3.00 | 4.00 | 5.00 |
Height- 50.0 | 65.1 | 70.4 | 65.9 | 51.5 | 27.5 |

Find an equation for the data shown.
What is the maximum height?
How long will it stay in the air?

20 points to whoever answers all three. Thanks

Answer 1

I'll round off the first equation to 3 decimal points
1 -
`y=-4.848 x^(2)+19.985x+50.011`
2 - 70.391 units
3 - 7.582 sec