Question

derive the kinematics equations for uniformly accelerated motion using graph​

Answer 1

Hey dear mate!!

$\bf\large{\boxed{\bf{\pink{solution}}}}$

First equation of motion relates velocity, time and acceleration.

Now , in ∆ uxy

$\sf{\red{ \tan\theta = \frac{xy}{uy}}}$

$\sf{\red{ \tan\theta = \frac{v - u}{t}}}$

We also know that tanθ is nothing but the slope and slope of v – t graph represents acceleration..

Therefore ,

The first equation of motion will be :-

$\bf{\large{ \boxed{ \bf{ \green{v = u + a \: t}}}}}$

Where ,

• v = Velocity
• u = initial velocity
• a = acceleration
• t = time

Note : - Refer to the attachment !!!

In this way we can Derive 1st equation of motion graphically...!!

Hope it helps!!

nice question!!

happy learning !!