Trajectory of an Object in the Air

Move the sliders to change the quadratic.
A quadratic equation can represent the trajectory of an object thrown in the air. A trajectory is the path of an object while it is in the air, ending when it hits the ground or intended target.[br][br]Point A gives the starting height of the object the millisecond it is released. The [math]y[/math] value of point A is the starting height.[br][br]Point B is the vertex of the quadratic. Point B gives the maximum height of the object in the air. The [math]y[/math] value of point B is the maximum height.[br][br]Point C is one of the roots of the quadratic. Point C gives the maximum horizontal distance of the object. The [math]x[/math] value of point C is the total distance the object was thrown. When point C is on the [math]x[/math]-axis, it is considered ground level.[br][br]Move sliders a, b or c. [br]Slider a is the coefficient in the term [math]ax^2[/math].[br]Slider b is the coefficient in the term [math]bx[/math].[br]Slider c is the constant term (also the coefficient in the term [math]cx^0[/math]).

Information: Trajectory of an Object in the Air