Using $Re=v\frac{l}{},$ determine the model speed $(v_m)$ in water in $\frac{m}{s}$ for a $1$:$6$ scale up if the prototype speed $(vp)$ in air is $60\frac{m}{s}.$ Data ${}_{\text{a}\text{i}\text{r}}=1\mathrm{.}225k\frac{g}{m^3},{}_{\text{a}\text{i}\text{r}}=1\mathrm{.}789*{10}^{-5}k\frac{g}{m}.s,{}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=999\mathrm{.}1k\frac{g}{m^3},{}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1\mathrm{.}139*{10}^{-3}k\frac{g}{m}.s.$

a$.0\mathrm{.}781$

b$.4610$

c$.4\mathrm{.}68$

d$.28\mathrm{.}1$