Home/Basic Physics/2D and 3D Motion/Time to maximum height3. 2D and 3D MotionTime to maximum heightIn 3. 2D and 3D MotionFormulaCopy LaTeXtmax=v0sinθgt_{\max}=\frac{v_0\sin\theta}{g}tmax=gv0sinθTagskinematicsphysicsphysics formulamotion 2D 3DprojectilesDetailTime elapsed until the projectile's vertical velocity vanishes.Explore the ideaExplore the ideaConditionsvy=0v_y=0vy=0 at the peak.Found an error? Contact us.Related formulasRelatedProjectile — vertical velocityvy=v0sinθ−gtv_y=v_0\sin\theta-gtvy=v0sinθ−gtOpen formulaOpen in sectionRelatedMaximum height of a projectileH=v02sin2θ2gH=\frac{v_0^2\sin^2\theta}{2g}H=2gv02sin2θOpen formulaOpen in section