Question

second equation of motion full explain in short form................

Answer 1

HEY MATE!! HERE IS YOUR ANSWER

Second Equation of Motion:

Distance covered in time (t) by a moving body.

Let, Initial velocity of the object = u
Final velocity of the object = v
Acceleration = a
Time = t
Distance covered in given time = s

We know that,

Average velocity =Initial velocity+Final velocity/2

∴ Average velocity =u+v/2----(ii)

We know that, Distance covered (s) in given time = Average velocity x Time

Or, s = Average velocity x Time -----------------(iii)

After substituting the value of average velocity from equation (ii) we get

⇒s=u+v/2×t⇒s=u+v/2×t

After substituting the value of ‘v’ from first equation of motion we get,

⇒s=u+(u+at)/2×t

⇒s=u+u+at/2×t

⇒s=2u+at/2×t

⇒s=2ut+at^2/2

⇒s=2ut/2+at^2/2

⇒s=ut+at^2/2

⇒s=ut+1/2at^2

The above equation is known as Second equation of motion.