Question

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Answer 1

Velocity is the rate of change of displacement.

Mathematically, this is expressed as

v=dsdt

Rearranging the equation, we get

ds=vdt

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

ds=(u+at)dt =(udt+atdt) ∫s0ds=∫t0udt+∫t0atdt s=ut+12at2

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