A formula with three variables $(,,)$ and two parameters $($a and b$)$ can be written:

$=(a-\frac{}{2})(\frac{}{a}$exp$(\frac{-b}{}))$

In this equation, $$ has units $\frac{N}{s}$ and $$ has units of $m,$ and $$ has units of $m.$ The constant $2$ is dimensionless.

$($a$)$ If the equation is dimensionally consistent, what are the appropriate units of:

$($i$)$ a$,$ and

$($ii$)$ b

$($b$)$ If the numerical values of a and $b$ are $10$ and $2$ respectively, what is the value of $$ for $=3\mathrm{.}5\frac{N}{s}$ and $=2\mathrm{.}75m?$