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Question Number 155035 by peter frank last updated on 24/Sep/21

Answered by mr W last updated on 24/Sep/21

h_(max) =((u_0 ^2 sin^2  θ)/(2g))  p.e. at h=(h_(max) /2)=((u_0 ^2 sin^2  θ)/(4g)) is  m_0 gh=((m_0 u_0 ^2 sin^2  θ)/4)

$${h}_{{max}} =\frac{{u}_{\mathrm{0}} ^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \:\theta}{\mathrm{2}{g}} \\ $$$${p}.{e}.\:{at}\:{h}=\frac{{h}_{{max}} }{\mathrm{2}}=\frac{{u}_{\mathrm{0}} ^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \:\theta}{\mathrm{4}{g}}\:{is} \\ $$$${m}_{\mathrm{0}} {gh}=\frac{{m}_{\mathrm{0}} {u}_{\mathrm{0}} ^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \:\theta}{\mathrm{4}} \\ $$

Commented by peter frank last updated on 25/Sep/21

thank you

$$\mathrm{thank}\:\mathrm{you} \\ $$

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