Chapter 11.1, Problem 11.26P

A human-powered vehicle (HPV) team wants to model the acceleration during the 260-m sprint race (the first 60 m is called a flying start) using $a=A-c{v}^2$ where a is the acceleration in m/s² and v is the velocity in m/s. From wind tunnel testing, they found that $C=0.0012{\text{m}}^{-1}$ . Knowing that the cyclist starts from rest and is going 100 km/h at the 260-meter mark, what is the value of A?