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## Main Question or Discussion Point

One thing I enjoy as a new physics student is using formulas. I have been playing with the fundamental formulas in terms of units rather than their names.

That is instead of a=v/t

m/s/s=(m/s)/s

or v=at

m/s=(m/s/s) x s

m/s=m/s

Simple maths yea, but when im getting to the bigger formulas im having trouble, perhaps they just dont work the way i am thinking but if someone could enlighten me that would be great..

S=(1/2)at^2

m=(1/2)x(m/s^2)x(s^2)

m=(1/2)x(m)

why do i get m = half m?

v^2 = 2as

m^2/s^2 = 2(m/s/s) x m

m^2/s^2 = 2 x m^2/s^2

m/s = 2 x m/s

again, there is a x2 factor there.

am i just thinking about this too much?

That is instead of a=v/t

m/s/s=(m/s)/s

or v=at

m/s=(m/s/s) x s

m/s=m/s

Simple maths yea, but when im getting to the bigger formulas im having trouble, perhaps they just dont work the way i am thinking but if someone could enlighten me that would be great..

S=(1/2)at^2

m=(1/2)x(m/s^2)x(s^2)

m=(1/2)x(m)

why do i get m = half m?

v^2 = 2as

m^2/s^2 = 2(m/s/s) x m

m^2/s^2 = 2 x m^2/s^2

m/s = 2 x m/s

again, there is a x2 factor there.

am i just thinking about this too much?