$4)$ Given: A $1$:$16$ scale model of a watercraft will be tested in a water tank. The full$-$size prototype will be moving at $15$ fps$.$ Assume the kinematic viscosity of the water in the tank and the water where the prototype will operate are the same.

Find: a$)$ The required velocity of the water in the water tank, in fps$,$ in order to observe strict Reynolds Number similitude.

b$)$ Using Froude Number similitude, what is:

i$)$ The ratio of velocity for the model to velocity for prototype $(\backslash (\backslash$mathrm$\{$Vm$\}/\backslash$mathrm$\{$Vp$\})\backslash )?$

ii$)$ The ratio of forces on the prototype to forces on the model $(\backslash (\backslash$mathrm$\{$Fp$\}/\backslash$mathrm$\{$Fm$\})\backslash )?$