Equations of Motion for Projectiles Vectors are quantities with magnitude and direction. And any vector can be presented by a vector arrow, the length of which corresponds to the magnitude, while the arrow point in the direction of the vector quantity. For a horizontally projected object, the displacement and velocity vector both have magnitude and direction that you can separate into components: horizontal components: Eq. 1: dx = x= vt and vertical components: Eq. 3: d. - h 4,62 Eq.2: V = Vx = Eq. 4:v, = Vy = agt Table 1. Kinematic Equations for Projectile Motion Horizontal Motion Vertical Motion V = constant ay -ag = constant UV V/v = Viy-agt - + 1 y = 2 Upya = Viy? - 2a,(y - y agt² Vertical displacements and velocities are taken positive upward and negative downward from the point of release va, = 9.8 m/s2, downward. 3
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