A person can throw a ball vertically upward to a maximum height H. Neglecting air resistance, the maximum horizontal range through which the same person can throw the ball is:
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A person can throw a ball vertically upward to a maximum height H. Neglecting air resistance, the maximum horizontal range through which the same person can throw the ball is:

G1 Physics · Accepted Answer

If the same maximum launch speed is u, then for a vertical throw: H = u²/(2g). The maximum horizontal range with speed u occurs at 45°: Rₘₐₓ = u²/g. Hence Rₘₐₓ = 2H.