Home/Basic Physics/2D and 3D Motion/Initial velocity components of a projectile3. 2D and 3D MotionInitial velocity components of a projectileIn 3. 2D and 3D MotionFormulaCopy LaTeXv0x=v0cosθ,v0y=v0sinθv_{0x}=v_0\cos\theta,\qquad v_{0y}=v_0\sin\thetav0x=v0cosθ,v0y=v0sinθTagskinematicsphysicsphysics formulamotion 2D 3DprojectilesDetailHorizontal and vertical components of a projectile's initial velocity.Explore the ideaExplore the ideaFound an error? Contact us.Related formulasRelatedCartesian decompositionA⃗=Axi^+Ayj^+Azk^\vec A=A_x\hat i+A_y\hat j+A_z\hat kA=Axi^+Ayj^+Azk^Open formulaOpen in sectionRelatedProjectile — horizontal positionx=x0+(v0cosθ)tx=x_0+(v_0\cos\theta)tx=x0+(v0cosθ)tOpen formulaOpen in sectionRelatedProjectile — vertical positiony=y0+(v0sinθ)t−12gt2y=y_0+(v_0\sin\theta)t-\frac12gt^2y=y0+(v0sinθ)t−21gt2Open formulaOpen in section