Math Problem Statement
"A projectile is fired with an initial speed of 37.9 m/s at an angle of 43.4 ∘ above the horizontal on a long flat firing range." Determine the maximum height reached by the projectile. Express your answer using three significant figures and include the appropriate units.
Solution
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Kinematics
Trigonometry
Formulas
v_y^2 = v_{y_0}^2 - 2g(h - h_0)
v_{y_0} = v_0 * sin(θ)
h = (v_{y_0}^2) / (2g)
Theorems
Kinematic Equations
Trigonometric Functions
Suitable Grade Level
Grades 9-12
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