Motion problem. Acceleration with respect to displacement

Im having a problem solving a physics related problem. This is it:

A truck travels at a speed of 4m/s along a circular road with radius if 50m. For a short distance, from s=0, its speed is then increased by a(tan) = (0.05s) m/s, where s is in meters. Determine the speed at s=10.

I thought this was a simple integration to find velocity, but i realized that i cant just integrate with respect to s.There is no time in this problem. So from there, I have no idea what to do really. It is hard for me to visualize this sort of equation. And just to note, a is tangential acceleration. The answer is 4.58 m/s. I just cant get that answer.

Any help is appreciated, thanks!

Chris