Math Problem Statement

these are the ranges use them to calaculate 10 degree=0.495m 20 degree=0.715m, 30 degree=0.8675m, 40 degree=0.10m, 45 degree=0.1m, 50 degree=0.955m, 60 degree=0.6225m, 70 degree=0.52m, 80degree=0.20m these are the given range use to calculate height and time of flight using kinematics equation

Solution

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Math Problem Analysis

Mathematical Concepts

Projectile Motion
Kinematics
Trigonometry

Formulas

Range Equation: R = (v0^2 * sin(2θ)) / g
Time of Flight: T = (2 * v0 * sin(θ)) / g
Maximum Height: H = (v0 * sin(θ))^2 / (2 * g)

Theorems

Trigonometric Identity sin(2θ) = 2 * sin(θ) * cos(θ)

Suitable Grade Level

Grades 9-12