Title: Test-Hotspots_Maths

Displacement

\(s\) is a "displacement" or distance.
A distance is a length.
So the dimensions of \(s\) are:
\[ s=[length]=L \]

Initial Velocity

\(u\) is a "velocity".
Velocity is "how far" (distance) over "how long" (time)
So the dimensions of \(u\) are:
\[ u=\frac{[length]}{[time]}=LT^{-1} \]

Time

\(t\) is a "time"
So the dimensions of \(t\) are:
\[t=[time]=T\]

Time (squared)

\(t^{2}\) is a "time" squared
So the dimensions of \(t^{2}\) are:
\[t=[time] \times [time]=T^{2} \]

Acceleration

\(a\) is an "acceleration" which is a (change in) velocity over a time.
So the dimensions of \(a\) are:
\[ a= \frac{\frac{[length]}{[time]}}{[time]}=LT^{-2} \]

Number

The \( \frac{1}{2} \) is "just" a multiplying number.

It is dimensionless.

It can be disregarded for the purposes of Dimensional Analysis