Math Problem Statement
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y, equals, minus, 16, x, squared, plus, 180, x, plus, 93
y=−16x2+180x+93
Solution
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Math Problem Analysis
Mathematical Concepts
Quadratic Equations
Kinematics
Projectile Motion
Formulas
Quadratic equation formula ax^2 + bx + c = 0
Quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Theorems
Quadratic Formula
Projectile motion under gravity
Suitable Grade Level
Grades 9-12
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