Question

The position coordinate x of a particle is determined by its velocity v and
the elapsed time t as follows: (a) x = At 2−Bvt; and (b) x = Avte−Bt . Determine
the dimensions of constants A and B in each case, assuming the expressions to be
dimensionally correct

Answer 1

a)

[A]=LT^{-2}\\ [B]=1

b)

[B]=T^{-1}\\ [A]=1