Math Problem Statement

average distance : 5.7 time : 1.6 calculate : height of bullet. Initial velocity. Angle of firing.

Solution

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Math Problem Analysis

Mathematical Concepts

Projectile Motion
Kinematics
Trigonometry

Formulas

Horizontal distance: d = v_0 * t * cos(θ)
Vertical displacement: y = v_0 * t * sin(θ) - (1/2) * g * t^2
Maximum height: h = (v_0^2 * sin^2(θ)) / (2g)

Theorems

Projectile Motion Equations

Suitable Grade Level

Grades 10-12