Question

derive the equation for uniformly accelerated motion s ut + 1⁄2 at2 .where the symbols have their usual meanings​

Answer 1

Question :-

derive the equation for uniformly accelerated motion s ut + 1⁄2 at2 .where the symbols have their usual meanings.

Solution :-

Suppose, the distance traveled by the body in time t is s.

For a uniformly accelerated motion,

Average Velocity = v + u/2

Displacement s = Average Velocity × Time.

s = v + u/2 × t ---(1)

From the first equation of motion,

v = u + at ----(2)

Substituting (ii) in (i),

s = u + (u + at) / 2 × t

Hence,

s = ut + 1/2 at²

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Derive second equation of motion, s = ut + 1/2 at2 graphically where the symbols have their usual meanings.

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