Derivation law of motion
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Newton's law of motion is derived using Galileo's experimental data from the inclined plane. This is achieved by developing a simple system identification method using measured distances and corresponding times on the inclined plane and the concepts of the derivative and differential equation.
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there are three laws of motion
(1) the inetia and mass (their is no derivation)
(2) the rate of change of momentum is directly proportional to the force applied
the derivation.....
the rate of change of momentum =mv-mu/t
so m(v-u/t)
and we know that (v-u/t)=a
so f=ma
(3) their is an equal and opposite reaction of every action (no derivation for it too)
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hope it helps
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