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Instead of differentiating velocity to find acceleration, integrate acceleration to find velocity. This gives us the velocity-time equation. If we assume acceleration is constant, we get the so-called first equation of motion [1].
...
constant acceleration.
v = v0 + at [1]
s = s0 + v0t + ½at2 [2]
=
v2 = v02 + 2a(s − s0) [3]
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and. ...........
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