Home/Basic Physics/2D and 3D Motion/Projectile — vertical velocity3. 2D and 3D MotionProjectile — vertical velocityIn 3. 2D and 3D MotionFormulaCopy LaTeXvy=v0sinθ−gtv_y=v_0\sin\theta-gtvy=v0sinθ−gtTagskinematicsphysicsphysics formulamotion 2D 3DprojectilesDetailVertical component of a projectile's velocity as a function of time.Explore the ideaExplore the ideaFound an error? Contact us.Related formulasRelatedInitial velocity components of a projectilev0x=v0cosθ,v0y=v0sinθv_{0x}=v_0\cos\theta,\qquad v_{0y}=v_0\sin\thetav0x=v0cosθ,v0y=v0sinθOpen formulaOpen in sectionRelatedProjectile — vertical positiony=y0+(v0sinθ)t−12gt2y=y_0+(v_0\sin\theta)t-\frac12gt^2y=y0+(v0sinθ)t−21gt2Open formulaOpen in sectionRelatedTime to maximum heighttmax=v0sinθgt_{\max}=\frac{v_0\sin\theta}{g}tmax=gv0sinθOpen formulaOpen in section