Math Problem Statement
The Walla Walla Little League teams use a baseball throwing machine to help train 10-year old players to catch high pop-ups. Assume the quadratic function h ( t )
− 16 t 2 + 48 t + 3.5 h(t)=−16t 2 +48t+3.5 can be used to model the height of the ball in feet, t t seconds after it is thrown.
Solution
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Math Problem Analysis
Mathematical Concepts
Quadratic Functions
Projectile Motion
Algebra
Formulas
Quadratic function h(t) = at^2 + bt + c
Vertex formula t_max = -b / (2a)
Quadratic formula t = (-b ± √(b^2 - 4ac)) / (2a)
Theorems
Vertex Theorem
Quadratic Formula Theorem
Suitable Grade Level
Grades 8-10
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