Question

Explain the three equations of motion according to class 9​

Answer 1

$\: 1.a = \frac{v - u}{t}$

$at \: = v - u$

$v = u \: + \: at$

$2. \: s =u \times t + \frac{1}{2} \times (v - u) \: t$

$s = ut + \frac{1}{2} a{t}^{2}$

$3. \: s = \frac{1}{2} (u + v)t$

$t = \frac{v - u}{a}$

$s = \frac{1}{2} (v + u) \times ( \frac{v - u}{t} )$

$s = \frac{1}{2} ( u + v) \times ( \frac{v - u}{a})$

$s \: = \frac{1}{2}( \frac{ {v}^{2} - {u}^{2} }{a} )$

$2as \: = {v}^{2} - {u}^{2}$