Question

an aeroplane flying with 288 km/hr drops a packet which is targeted at a horizontal distance of 1km. is the height of the aeroplane is 5 km/hr find by how much it will miss

Answer 1

$$\begin{gathered} \mathbf{Time}\mathbf{}\mathbf{of}\mathbf{}\mathbf{flight}\mathbf{:} \\ \mathrm{T}=\sqrt{\frac{2\mathrm{h}}{\mathrm{g}}} \\ =\sqrt{\frac{2\times 5000}{9.8}} \\ =31.9\mathrm{s} \\ \mathbf{Horizontal}\mathbf{}\mathbf{velocity}\mathbf{:} \\ \mathrm{v}=288\mathrm{km}/\mathrm{h} \\ =288\times \frac{5}{18} \\ =80\mathrm{m}/\mathrm{s} \\ \mathbf{Horizontal}\mathbf{}\mathbf{distance}\mathbf{}\mathbf{travelled}\mathbf{}\mathbf{by}\mathbf{}\mathbf{the}\mathbf{}\mathbf{packet}\mathbf{:} \\ \mathrm{d}=\mathrm{vT} \\ =80\times 31.9 \\ =2552\mathrm{m} \\ \mathbf{Distance}\mathbf{}\mathbf{of}\mathbf{}\mathbf{missing}\mathbf{}\mathbf{the}\mathbf{}\mathbf{target}\mathbf{:} \\ \mathrm{x}=2552-1000 \\ =1552\mathrm{m} \\ \mathbf{=}\mathbf{1}\mathbf{.}\mathbf{6}\mathbf{}\mathbf{km} \end{gathered}$$