Question

derive the given equation of uniformly acceleration motion Q²= u²+ 2as​

Answer 1

$\huge\fbox\pink{✯Answer✯}$

From the first equation of motion,

$v=u+at$

$t = \frac{v - u}{a} (1)$

For a uniformly accelerated motion,

$Average  \: velocity \: = \frac{v + u}{2} (2)$

$\small\fbox\pink{✯Displacement=Average Velocity×Time✯}$

Substituting from (i) and (ii)

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

$\color{magenta}\huge\mathfrak{  \text{H}ence \:   \: Proved}$

∴v² =u ² +2as

or

∴Q² =u ² +2as

$\huge\boxed{\dag\sf\red{Thanks}\dag}$