derive position- velocity relation
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The meaning of velocity of an object can be defined as the rate of change of the object's position with respect to a frame of reference and time. ... It is a vector quantity, which means we need both magnitude (speed) and direction to define velocity.
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The first equation of motion relates velocity to time. We essentially derived it from this derivative… The second equation of motion relates position to time.
...
calculus derivations.
v = v0 + at [1]
s = s0 + v0t + ½at2 [2]
=
v2 = v02 + 2a(s − s0) [3]
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