Question

State newton's second law of motion and derive it mathmatically

Answer 1

The BIG Equation. Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object
f is proportional to the momentom
f proportional to mv-mu/t
f proportional to m(v-u)/t                            ( take m common)
f = k {m(v-u)/t}                                               ( k = 1 )
Multiplying by k, we get
f = m(v-u)/t
As we know the value of a = v-u/t
We get this value by the formula of
v = u + at
and   a = v-u/t
then we have to put the value
f = m*a                                                            { v-u/t = a }
f = ma

hope it help u