The Distance Formula You know that the distance A B between two points in a plane with Cartesian coordinates A x 1 y 1 and B x 2 y 2 is given by the following formula. Distance Square Root 4 - 2 2 5 - 1 2 Distance Square Root 2 2 4 2 Distance Square Root 20 Distance 44721. This video provides an example of an application of a quadratic function that gives the vertical height of an object as a function of the horizontal distance.
Know the distance formula.
Enter any integer decimal or fraction. Vertical distance from the ground is described by the formula y g t² 2 where g is the gravity. The horizontal range depends on the initial velocity v 0 the launch angle th and the acceleration due to gravity. The formula for the vertical distance from the ground is y vy t g t2 2 where g refers to the gravity acceleration.