1. The problem statement, all variables and given/known data
The acceleration of a particle is defined by the relation a = -0.05v^2, where a is expresssed in m/s^2 and v in m/s. The particle starts at s=0 m with a velocity of 5 m/s. Determine (a) the velocity v of the particle after it travels 10m, (b) the distance s the particle will travel before its velocity drops to 2 m/s, (c) the distance s the particle will travel before it comes to rest.
2. Relevant equations
a = v (dv/ds)
3. The attempt at a solution
I don't think this is right because when I integrated the right side, it ends up being undefined?