Question

derive the equations if motion without using graphical method

Answer 1

Hope it helped you .
All the best!!!

Answer 2

Hi friend ✨✨✨

FIRST EQUATION OF MOTION :-

Acceleration =final velocity - initial velocity
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Time taken

a=v-u/t

at=v-u

v=u +at


V-final velocity of the body

u- Initial velocity

a-acceleration

t-time
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SECOND LAW OF MOTION

S=UT +1/2AT^2

Average velocity =Initial velocity +final velocity
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2

Average velocity =u +v /2

Distance travelled =average velocity ×time

s =(u+v)/2 ×t

We have first equation so put here.

s=(u +u+at)×t /2

s =(2u+at)×t /2

s =2ut +at ^2 /2

s =ut +1/2 at^2

×___________×____________×

THIRD EQUATION OF MOTION

V^2=U^2+2AS


The second equation of motion ,I have

s =ut +1/2at^2 ..............(1)

I have first equation too

v=u +at

This can be rearrange and written as

at=v-u

t=v-u/a

Putting this value of t in equation (1)so I get

s=u(v-u )/a +1/2 a (v-u/a )^2

s =uv -u^2 /a + a (v^2 +u^2 -2uv /2a ^2 )

s =uv -u^2/a +v^2 +u^2 -2uv/2a

s =2uv -2 u^2 +v^2 +u^2 -2uv /2a

2as =v^2 -u^2

v^2 =u ^2 +2as

_×_________×___________×

Hope it is helpful ✌✌✌❤✨✨