Question

the position x of a particle at time T is given by x is equal to be not Upon A into 1 minus e ki power minus 80 where we not is constant the dimension of V notch and A are​

Answer 1

The position of the particle at a time t is given by,

S(t)=V0a(1−e−at)

As it denotes position, [S]=m, i.e. distance in meters. If you look at the exponential, exp(at), notice that the argument at must be dimensionless, hence [a]=s−1 or inverse time. Now,

[V0][a]=[V0]s=m

hence V0 has dimensions of velocity, i.e. [V0]=ms−1. (