109th Problem 2016

Algebra Level pending

An improvised rocket is launched from the top of a building \(150 \text{ feet}\) high. The height\(\text{ (H) }\), measured from the top of the building, reached by the rocket after\(\text{ (t) }\)seconds is given by the function:

\[ \large H( t ) =40t-10{ t }^{ 2 } \]

What is the highest distance of the rocket from the ground?

Check out the set: 2016 Problems.

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