Question

Using dimensional symbols prove that the following equation are correct distance = intial velocity × time + ½ × acceleration × time²

Answer 1

Answer:

Dimension symbols are the units of symbols

I am considering the dimension symbols the same as their units so don't be confused.

As you know the distance is measured in m so the dimension

would be M

Velocity = displacement/time = M / T

time = T

number and powers do not have dimensions

acceleration = velcotiy / time = M/TxT

so put this in the equation now to get the answer

or prove it

M = M/T  x T +1/2 x M/T^2 x T^2

1/2 is canceled as its dimension are 0

so you left with

M= M/T x T

M= M hence proved