# 109th Problem 2016

Algebra Level 2

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?

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