A horizontally-launched projectile arcs out and hits the ground below

Question

Options:

A . d→x=v→x⋅t\overrightarrow{d}_x=\overrightarrow{v}_x\cdot tdx=vx⋅t

B . d→y=+12⋅g⋅t2+v→yi⋅t\overrightarrow{d}_y=+\frac{1}{2}\cdot g\cdot t^2+\overrightarrow{v}_{yi}\cdot tdy=+21⋅g⋅t2+vyi⋅t

C . v→yf=v→yi+g⋅t\overrightarrow{v}_{yf}=\overrightarrow{v}_{yi}+g\cdot tvyf=vyi+g⋅t

D . t=2⋅d→ygt=\sqrt{\frac{2\cdot\overrightarrow{d}_y}{g}}t=g2⋅dy

Answer: Option D

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