Question

$\huge\mathrm\star\fbox\red{Question:-}\star$

$\mathrm\star\fbox\purple{Derive\ the\ mathematical\ relation\ of\ Newton's\ second\ law\ of\ motion}\star$​

Answer 1

$\huge\purple{\bf{Newton's\; Second\;Law\;of\; Motion}}$

StaTement:

The rate of change of the linear momentum of a particle is equal to the net force on the particle.

$\bf{f ∝ \frac {∆p}{∆t}}$

$\bf{f ∝ \frac {mv-mu}{∆t}}$

$\bf{f ∝ \frac {m(v-u)}{∆t}}$

$\bf{f ∝ ma}$

$\bf{f = kma}$

$\: \: \: \: \: \: \: \: \: \Large\red {\bf{f = ma}}$

Hope It Helps You ✌️.