Question

Derivation of 1st equation of motion

Answer 1

Answer:

refer to the attachment

Answer 2

$\large \underline{ \underline{ \bold{ \: To \: prove: \: \: \: }}}$

$\to$ v = u + at

$\large \underline{ \underline{ \bold{ \: Explanation : \: \: \: }}}$

$\huge \star$ It is known that the acceleration of the body is defined as the rate of change of velocity

$\to$ Acceleration = a

$\to$ Initial velocity = u

$\to$ Final velocity = v

$\to$ Time = t

So ,

$\large\fbox{ \fbox{ \bold{Acceleration = \frac{v - u}{t}}}}$

From this ,

$\to a = \frac{v - u}{t} \\ \\ \to at = v - u \\ \\ \to v = u + at$

$\large \fbox{ \fbox{ \bold{ \: v = u + at \: \: \: }}}$