Question

Derive the equation of motion , s = ut + 1/2at² from graphical method

Answer 1

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• Derive the formula : s = ut + ½ at², where the symbols have usual meaning

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average velocity =( intial velocity + final velocity)/2

$= u + v/2$

Distance travelled = ( average velocity )(time)

$s = (u + v/2)(t)$

$s = (2u + at/2)(t)$

$s = 2ut + {at}^{2} /2$

$s = ut + \frac{1}{2} at {}^{2}$

Where,

s is the distance travelled by the body

t is the time taken

u is the initial velocity

v is the final velocity

Answer 2

Answer:

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Explanation:

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