Question

An equation of motion is given by s=ut + (1/2)gt^2. Determine the dimension of (1/2)gt^2​

Answer 1

The Dimensions of
`(1)/(2)` gt² = [M⁰LT⁰]

Step-by-step explanation:

The dimensions of a physical quantity are the powers to which the fundamental quantities must be raised to represent that quantity completely.

S = ut +
`(1)/(2)` gt²

where s= displacement covered (m)

u = Initial velocity (ms⁻¹)

g = Acceleration due to gravity (ms⁻²)

t = time (sec)

Dimensions of
`(1)/(2)` gt² ;

g = [M⁰LT⁻²] ; t² = [M⁰L⁰T⁻²]²

gt² = [M⁰LT⁰]