Paper Airplane Day\text{Paper Airplane Day}

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Today (May 2626) is National Paper Airplane Day with special guest star Garret Saltzbach.

A paper airplane is ready to soar.

Image by: StockSnap via Pixabay (CC0)

Ignoring drag, the height of a paper airplane in the air could be calculated by: h=h0+12t2(12ρV2⋅S⋅Clm−g)h=h_0+\frac12t^2\bigg(\frac{\frac12\rho V^2\cdot S\cdot C_l}{m}-g\bigg) where ⋅h0=initial height⋅ρ=density of air⋅V=initial velocity thrown⋅S=surface area of plane⋅Cl=coefficient of lift⋅m=density of mass of plane⋅g=density of gravity⋅t=density of time\begin{align} &\cdot\quad h_0=\text{initial height}\\ &\cdot\quad\rho=\text{density of air}\\ &\cdot\quad V=\text{initial velocity thrown}\\ &\cdot\quad S=\text{surface area of plane}\\ &\cdot\quad C_l=\text{coefficient of lift}\\ &\cdot\quad m=\text{density of mass of plane}\\ &\cdot\quad g=\text{density of gravity}\\ &\cdot\quad t=\text{density of time} \end{align}

Can you solve for the initial velocity thrown?

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