Question

Using graphical method, derive the equation 2as=v²-u² where symbols have their usual meaning.
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Answer 1

Refers to the attachments

Graphical Method:

• s = Distance

• a = acceleration

• u = initial velocity

• v = final velocity

• t = time taken

★Dist. travelled by object = Area of trapezium ABDO

s = 1/2 ( sum of parallel sides ) × height

s = 1/2 ( BD + AO ) × OD

BD + AO = v + u and OD = t . Substituting the values in the above relations,we get

s = 1/2 ( v + u ) × t

From first equation of motion: v = u + at

⇒ at = v - u

⇒ t = v - u / t

Now, Putting the value of t ,we get :

s = 1/2 ( v + u ) × ( v - u / a )

2as = v² - u² [ ( v + u ) ( v - u ) = v² - u² ]

Answer 2

Answer:

Its right answer

Explanation:

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