![]() ![]() Initial vertical velocity changes throughout projectile motion.Find its initial horizontal and vertical velocities.Ĭonstruct a right-angled triangle from vectors: Situations in which this type of initial velocity occurs will be explored and clarified in practice questions later.Ī projectile is launched at 60 ms -1 at an elevation of 30 0. The initial velocity can be negative because the initial direction of a projectile can also be downwards as shown below. ![]() 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. ![]()
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