Wind drag can be approximated as being quadratic in speed:
Fd = av^2
where a is a scaling constant and v is the relative speed of thebody moving through the air. Neglect all other sources of drag and determine a for the case of a 175 lb cyclist (including bicycle) cycling at 25 mph and producing a steady-state power output of 0.35 hp. How much faster would the cyclist go if he could increase his power output by 10%?