Question

Derive the relation s= u t +1/2 at2​

Answer 1

Answer:

a)To Prove,

S = ut + (1/2)at²

Where, S = Diatance

u = Initial Velocity

a = acceleration

t = time.

Proof :

Acceleration = (Final velocity - Initial Velocity)/t

a = (v - u)/t

at = v - u -------------------------------eq(i)

Now, We know,

Distance Traveled = Average Velocity × Time

S = (v + u)/2 × t

But From eq(i) , v = u + at

S = (u + at + u)/2 × t

S = [(2u + at)/2] × t

⇒ S = ut + (1/2)at²