Question

Show that v2= u2+2as by using v-t graph​

Answer 1

To prove :-

• v² = u² + 2as

Prove :-

⇝ s = Area of trapezium OABC

⇝ s = ½ × sum of its parallel sides × height

⇝ s = ½ × OA × CB × OC

⇝ s = ½ × u × v - u × t

⇝ s = ½ × u × v - u × v - u/a

• v - u = at
• v - u/a = t

⇝ s = v + u × v - u/2a

⇝ 2as = v² - u²

⇝ v² = u² + 2as ........(Proved)

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More formula's :

Newton's first equation of motion :

• v = u + at

Newton's second equation of motion :

• s = ut + ½ at²

Newton's third equation of motion :

• v² = u² + 2as