Question

Derive the third equation of motion [s = ut + 1/2 at-2] for a body under uniform acceleration.​

Answer 1

Answer:

= s = ut+ 1/2 at^2

hope it helps u

Answer 2

Answer:

Explanation:

Correct Question :-

Derive the second equation of motion [s = ut + 1/2 at^2] for a body under uniform acceleration.

Solution :-

Let ,

Distance be 's'

Final Velocity be 'v'

Initial Velocity be 'u'

time be 't'

Acceleration be 'a'

We know that :-

$s=\dfrac{u+v}{2}\times t$

[Let it be equation - 1]

[ Since , Distance = Average Velocity/time]

From the first equation of motion :-

We get "v = u + at"

Substituting in equation - 1 :-

$s=\dfrac{u+u+at}{2}\times t$

$s=\dfrac{(2u+at)\times t}{2}$

$s=\dfrac{2ut+at^2}{2}$

$s=\dfrac{2ut}{2}+\dfrac{at^2}{2}$

$s=ut+\dfrac{1}{2}at^2$