The distance x covered in time t by a body having initial velocity
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Explanation:
The equations that you have quoted are called kinematic equations.
The dictionary definition of kinematics is:
the branch of mechanics that deals with pure motion, without reference to the masses or forces involved in it
So kinematic equations are not derived from Newton's laws of motion.
They would be correct irrespective of whether or not Newton's laws of motion were correct.
However dynamics
the branch of mechanics concerned with the motion of bodies under the action of forces
is very much to do with Newton's laws of motion.
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