Math Problem Statement
A projectile is fired with an initial speed of 190 m/s and angle of elevation 60°. The projectile is fired from a position 80 m above the ground. (Recall g ≈ 9.8 m/s2. Round your answers to the nearest whole number.) (a) Find the range of the projectile. m
(b) Find the maximum height reached. m
(c) Find the speed at impact. m/s
Solution
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Math Problem Analysis
Mathematical Concepts
Projectile Motion
Kinematics
Trigonometry
Formulas
Range: R = (v_0 * cos(θ) / g) * (v_0 * sin(θ) + sqrt((v_0 * sin(θ))² + 2gh_0))
Maximum Height: H = h_0 + (v_0 * sin(θ))² / 2g
Impact Speed: v_f = sqrt(v_x² + v_y²)
Theorems
Kinematic Equations of Motion
Trigonometric Functions
Suitable Grade Level
Grades 10-12
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