Question

Dimension to prove that s =ut+1/2at^2

Answer 1

x=x0+v0t+1/2at^2

x=distance travelled by a particle
t=time
x0=starting position
v0=initial velocity

Dimension of each term:-

[x]=[L]
[x0]=[L]
[v0t]=[LT^-1][T]=[L]
[1/2at^2]=[LT^-2][T^2]=[L]

Hope it helps