Since the triangle is right-angled, the three vectors’ relationship can also be summarised by Pythagoras’s theorem.The relationship between initial vertical and horizontal velocity is described by:.

Using trigonometry, initial horizontal and initial vertical velocities can be expressed in terms of the initial velocity. The relationship between initial velocity, initial horizontal and vertical velocity can always be represented by the right-angled triangle with q (as shown in the diagram) is the angle at which the projectile leaves the horizontal plane (usually the ground).Initial horizontal velocity is typically written as u x– subscript x is used to represent the horizontal rectilinear motion.Initial vertical velocity is typically written as u y– subscript y is used to represent the vertical rectilinear motion.Initial velocity is typically written as u.This is done by constructing a right-angled triangle from vectors. The initial velocity can always analysed as and resolved into two components: horizontal and vertical velocities.All objects at the beginning of their projectile motion must possess a non-zero initial velocity.

Solve problems, create models and make quantitative predictions by applying the equations of motion relationships for uniformly accelerated and constant rectilinear motion.

Apply the modelling of projectile motion to quantitatively derive the relationships between the following variables:.

Projectile motion equations