Question

DRIVE THE SECOND EQUATION OF MOTION BY ANY METHOD ?
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Answer 1

Answer:

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Explanation:

Derivation of Second Equation of Motion by Calculus Method

Velocity is the rate of change of displacement.

Mathematically, this is expressed as

v=ds.dt

Rearranging the equation, we get

ds=vdt

Substituting the first equation of motion in the above equation, we get

ds=(u+at)dt

ds=(u+at)dt=(udt+atdt)

On further simplification, the equation becomes:

∫s0ds=∫t0udt+∫t0atdt

s=ut+1/2 at^2

$s=ut+1/2 at^2$

hence proved