state Newton's second law of motion and show that the first law of motion can be mathmaticaly stated from the mathematical expression for the second law of motion.
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Newton's second law states that rate of change of momentum is directly proportional to the Force applied.
=>F = ma
If an object is at rest it's acceleration will be zero and thus the Force will also be zero. Then it will remain at rest. And if it is in acceleration it's a constant Force will be applied on it. Thus it will remain in motion.
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