Question $1$:

The bow wave created at the front of a boat has a big effect on the drag. For a boat that is $30$ m long and $6$ m wide, cruising at $25\frac{m}{s},$ the drag force due to the bow wave is determined to be $9,000N.A\frac{1}{{15}^{th}}$ scale model of the boat is used in a towing tank to evaluate design changes. Determine the speed that the model should be tested at and the drag force that replicated the current conditions.

$[$Hint: Froude number and drag coefficient are the relevant dimensionless groups$]$