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Derive v2=u2+2as

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Derive v2=u2+2as

Posted by Dipti Patel 4 years, 3 months ago

CBSE > Class 09 > Science

1 answers

Meghna Thapar 4 years, 3 months ago

Equation For Position - Velocity Relation:

From the velocity-time graph, the distance s travelled by the object in time t, moving under uniform acceleration a is given by the area enclosed within the trapezium OABC under the graph. That is,

s = area of the trapezium OABC = (OA + BC) X OC/2

Substituting OA = u, BC = v and OC = t,

We get

s= (u+v) t/2

From the velocity-time relation

We get

t= v - u/a

We have

s = (v + u) x (v – u)/2a

or 2as = v² – u²

0Thank You

ANSWER

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