Introduction to Mechanics-1. Units and Dimensional Analysis-Learning Activities-Challenge Problems

Problem 3: Dimensional Analysis Solution
The speed of a sail-boat or any other craft that does not plane is limited by the wave it makes – it can’t climb uphill over the front of the wave. What is the maximum speed you’d expect?
Hint: relevant quantities might be the length l of the boat, the density ! of the water, and the gravitational acceleration g: Vboat-l^Xp^Yg^Z
How to understand-----------
The maximum speed of a single-hull displacement boat in SI units is given by
Vboat
= (1.25 m ^(1/2)s^(-1))*l^0.5
where l length of the hull at the waterline is measured in meters. So our estimation based
on dimensional analysis requires a coefficient
v = 0.40 ( lg)^(1/2)
--------Thanks!!!

Question

Introduction to Mechanics-1. Units and Dimensional Analysis-Learning Activities-Challenge Problems

Problem 3: Dimensional Analysis Solution
The speed of a sail-boat or any other craft that does not plane is limited by the wave it makes –  it can’t climb uphill over the front of the wave. What is the maximum speed you’d expect?
Hint: relevant quantities might be the length  l  of the boat, the density  ! of the water, and the gravitational acceleration g: Vboat-l^Xp^Yg^Z
How to understand-----------
The maximum speed of a single-hull displacement boat in SI units is given by
Vboat
= (1.25 m ^(1/2)s^(-1))*l^0.5
where  l  length of the hull at the waterline is measured in meters. So our estimation based 
on dimensional analysis requires a coefficient 
v = 0.40 ( lg)^(1/2)
--------Thanks!!!