Question

derivation of first law of motion

Answer 1

where is the initial velocity, is the velocity at time , is the displacement and is the acceleration. Note, these equations are only true for constant acceleration, but that actually covers quite a lot of situations. ... Newton's equations of motion can be derived from his 2nd law of motion.

Answer 2

the first law of motion any object remain in the state of rest or in uniform motion along a straight line until it is compelled to change the state by applying external force