Question

derive the formula, v^2=u^2+2as​

Answer 1

Answer:

Your answer is in above attached picture.

Answer 2

$\underline{ \rm\huge \: {v}^{2} = {u}^{2} + 2as}$

${ \huge \rm\color{mediumslateblue} \underline {Derivation : }}$

We know that,

Distance travelled = Average Velocity × time

$\rm\implies \dfrac{Initial \: velocity+ final \: velocity}{2}×time$

$\rm{or \: \: \: s = \dfrac{u + v}{2} } \times t$

$\rm{ \implies \: \: \: s = \dfrac{u + v}{2} } \times \dfrac{v - u}{a}....{ \rm{∵ \: t = \dfrac{v - u}{a}} }$

$\implies \: \rm{ \: \: \: s = \dfrac{ {v}^{2} - {u}^{2} }{2a} }$

$\: \rm{ or \: \: \: 2a s = { {v}^{2} - {u}^{2} }{} }$

$\fbox{ \therefore \: \: \rm{ \: \: \: { {v}^{2} = {u}^{2} } + {2as} }}$