Question

derive s=ut+1/2at² using graphical method, where letter have their usual meaning​

Answer 1

To proof :

• s = ut + ½ at²

Prove :

➨ s = ut + ½ at²

Where,

• s = Distance
• u = Initial velocity
• a = Acceleration
• t = Time

➨ s = Area of trapezium

➨ s = Area of rectangle + Area of triangle

➨ s = Length × Breadth + ½ × Base × Height

➨ s = OC × OD + ½ × BD × AD

➨ s = t × u + ½ × t × at

➨ s = ut + ½ at²

∴Hence, Proved.

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Other formulas :-

Newtons first equation of motion :

• v = u + at

Newtons second equation of motion :

• s = ut + ½ at²

Newtons third equation of motion :

• v² = u² + 2as