Question

An aeroplane , taking off from a field, has a run of 500m. What is the acceleration if it leaves the ground in 10s from the start? Also find the take off velocity.

Answer 1

Dear Student ,

$$\begin{gathered} Given:DISTANCE=s=500m \\ Initialvelocity=u=0m/s \\ Finalvelocity=V=? \\ Time=t=10s \\ FromSecondequationofmotion:S=ut+\frac{1}{2}a{t}^2 \\ 500=\left(0\times 10\right)+\left(\frac{1}{2}\times a\times 100\right) \\ \Rightarrow a=500/50=10m/s^2 \\ FromV=u+at=0+10\times 10=100m/s \\ Therefore,accelerationis10m/s^{2}andtakeoffvelocityis100m/s. \end{gathered}$$
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