![]() ![]() (d) Find the Cartesian equation for the trajectory of the javelin. (c) Determine the maximum height that the javelin achieves. (b) Find the displacement vector of the javelin. Make sure you understand The Projectile Motion Equations. oy ) at t 0, then these equations tell you the position (x(t), y(t)) of the projectile for all future time t > 0. (a) Find the velocity vector of the javelin. The Projectile Motion Equations These equations tell you everything about the motion of a projectile (neglecting air resistance). Hugh throws a stone into the air with an initial speed of \(8ms^\). We may decompose projectile motion into both horizontal and vertical components that are parametric in terms of \(t\). Under these simplifications, a projectile’s trajectory can be plotted on a Cartesian plane as a parabola. For Extension 1, projectiles are represented as points and the effects of air resistance are also assumed to be negligible. This means that self-propelled objects such as rockets or buoyant objects like balloons are not considered to be projectiles. Students should also be familiar with vector notation and the vector concepts of direction and magnitude.Ī projectile is any object that moves through the air and is subject to only a single force, gravity. This includes the topics of differentiation, integration, rates of change and motion in a line. Students are assumed to have a basic understanding of quadratics, trigonometry, calculus and vectors.
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