Posted by **Anonymous** on Monday, February 25, 2013 at 12:55am.

If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h=-9.8t^2+88.2t. During what interval of time will the rocket be higher than137.2m?

Do I set it up like this?

-9.8(1)^2+88.2(1)+137.2 = 215.6

Then h=b/2a=9.8/215.6=22m

137.2+22=159

Thanks for your help.

- college algebra -
**Steve**, Monday, February 25, 2013 at 12:30pm
Not quite. You found (sort of) when the height is greatest (the vertex of the parabola). That was not the question.

You have

h=-9.8t^2+88.2t

when is h=137.2?

(Aside. You sure about that 9.8? h = vt - 1/2 at^2 and a = 9.8)

137.2 = -9.8t^2 + 88.2t

t = 2,7

So, at those two times, h=137.2

Knowing what you do about the shape of parabolas, and that this one opens downward, h > 137.2 between those two values, so

2 < t < 7

## Answer This Question

## Related Questions

- algebra - If a rocket is propelled upward from ground level, it's height in ...
- math - a model rocket is projected straight upward from the ground level. It is ...
- Algebra - A miniature rocket is launched so that its height in meters after t ...
- math-algebra - A launched rocket has an altitude, in meters, given by the ...
- Physics - A test rocket is launched vertically from ground level (y=0m), at time...
- Algebra~Scary problem! - A launched rocket has an altitude, in meters, given by ...
- Math - A rocket follows a parabolic trajectory. After t seconds, the vertical ...
- college algebra - A model rocket is launches upward with an initial velocity of ...
- algebra - A launched rocket has an altitude, in meters,give n by the polynomial ...
- algebra - the path of a rocket fired during a fireworks display is given by the ...

More Related Questions