SOLUTION: The height h (in feet) of a rocket as a function of the time t (in seconds) of flight is given by the following equation. Determine the times t when the rocket is on the ground.

Question 285567: The height h (in feet) of a rocket as a function of the time t (in seconds) of flight is given by the following equation. Determine the times t when the rocket is on the ground.
h=50+280t-16t(squared)

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
When , the rocket is still on the ground, and
(height of rocket?)
The rocket is also on the ground when it comes
back down at , so

Using quadratic equation:

The (+) square root gives me negative ,
so I can't use it

sec
The rocket comes back to the ground in 17.677sec
Here's a plot of vs also:

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