A soft ball is thrown at an angle of α = 60° above the horizontal. It lands a distance d = 2m from the edge of a flat roof, whose height is h = 20 m ; the edge of the roof is ℓ = 38 m from the thrower (see fig.). At what speed (in m/s) was the softball thrown?

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Question

A soft ball is thrown at an angle of α = 60° above the horizontal. It lands a distance d = 2m from the edge of a flat roof, whose height is h = 20 m ; the edge of the roof is ℓ = 38 m from the thrower (see fig.). At what speed (in m/s) was the softball thrown?

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$y = xtanθ - \frac{1}{2} g \frac{x^{2}}{v^{2} \cos^{2} θ}$
x = 38 + 2 = 40
y = 18
θ = 60° ⇒ v = 25 m/s