# Welcome to the Advanced Physics Challenge!
# Spin through the categories, lock in your topic, and let the wheel decide your final quiz question!
Subject     # This is the root wheel name (ignored by parser if it is a single sector root)
    Physics     # First major topic category
        Motion
            Solve 5 questions   # This determines the type of task
                Easy
                    What is the formula for velocity?
                    What is the unit of acceleration?
                Medium
                    Calculate the acceleration of a falling object.
                    A car accelerates at 2m/s2 for 5s. Find distance.
                Hard
                    Derive the kinematic equations from a velocity-time graph.
                    Calculate projectile range on an inclined plane.
            Draw a diagram
                Easy
                    Draw a basic free-body diagram.
                    Draw vectors for constant velocity.
                Medium
                    Draw vectors for an object on an inclined plane.
                    Draw the forces on a pendulum.
                Hard
                    Draw a multi-body tension diagram.
                    Draw a complex pulley system force diagram.
        Light
            Explain Reflection
                Easy
                    State the Law of Reflection.
                    What is a virtual image?
                Medium
                    Draw a ray diagram for a plane mirror.
                    Explain diffuse vs specular reflection.
                Hard
                    Calculate the angle of incidence for total internal reflection.
                    Derive the mirror equation.
            Identify Lenses
                Easy
                    What does a convex lens do?
                    Identify a concave lens.
                Medium
                    Calculate the focal length using the lens equation.
                    Find the image distance for a convex lens.
                Hard
                    Determine the magnification of a two-lens system.
                    Calculate spherical aberration effects.
    Maths       # Second major topic category
        Algebra
            Solve for X
                Easy
                    Solve: 2x + 4 = 10
                    Solve: 3x - 5 = 16
                Medium
                    Solve: x^2 - 5x + 6 = 0
                    Solve: 2x^2 + 5x - 3 = 0
                Hard
                    Solve the system of non-linear equations.
                    Solve a cubic equation with real roots.
            Graphing
                Easy
                    Graph y = 2x + 1
                    Graph y = -x + 4
                Medium
                    Graph the parabola y = x^2 - 4
                    Graph the circle x^2 + y^2 = 9
                Hard
                    Graph the system of inequalities.
                    Graph a rational function with asymptotes.
        Geometry
            Find the Area
                Easy
                    Area of a triangle with base 10, height 5.
                    Area of a square with side 6.
                Medium
                    Area of a circle with circumference 31.4.
                    Area of a trapezoid.
                Hard
                    Surface area of a composite 3D shape.
                    Area of a regular octagon.
            Calculate Volume
                Easy
                    Volume of a cube with side 3.
                    Volume of a rectangular prism.
                Medium
                    Volume of a cylinder.
                    Volume of a cone.
                Hard
                    Volume of a complex polyhedron.
                    Volume of intersecting spheres.