Math Problem Statement

We are standing on the top of a 624 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is h(t)=-16t^2+160t+624.   What is the highest point that the object reaches?

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Projectile Motion

Formulas

h(t) = -16t^2 + 160t + 624
t_max = -b/(2a)

Theorems

Vertex of a Parabola

Suitable Grade Level

Grades 9-12