Question

Derive s = ut + at2/2 using v – t graph.

Answer 1

Correct Question :-

Derive s = ut + ½ at² using velocity - time graph.

Answer :-

→ s = ut + ½ at²

→ s = Area of trapezium

→ s = Area of rectangle + Area of triangle

→ s = length × breadth + ½ × base × height

→ s = OC × DC + ½ BD × AD

→ s = t × u + ½ × t × at

→ s = ut + ½ at² ......(Proved)

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More formula :

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