Question

gument
(4) v2 u² + 2as using graphic method
​

Answer 1

Correct Question :

Prove v² = u² + 2as using graphic method.

Answer :

$\implies\sf{Distance \: Travelled(s) = Area \: of \: trapezium \: OABC} \\ \\ \implies \sf{s = \dfrac{(Sum \: of \: parallel \: sides) \times Height}{2} } \\ \\ \implies\sf{s = \dfrac{OA + CB</p><p> \times{ OC}}{2} } \\ \\ \implies \sf{} \frac{u + v \times t}{2} \\ \\ \implies \sf{v = u + at} \\ \\ \sf \implies{at = v - u} \\ \\ \sf \implies{t = \frac{v - u}{a} } \\ \\ \implies \sf { \frac{(v + u) \times (v - u)}{2a} } \\ \\ \implies \sf{2as = {u}^{2} + 2as } \\ \\ \implies{ \underline{ \boxed{\sf{ {v}^{2} = {u}^{2} + 2as }}}} \green \bigstar$