The acceleration (a) of a particle depends on displacement (s) as a a = 5 + s. Initially s = 0, v = 5, then velocity v corresponding to the displacement is given by

Here, a=s+5

So, dv/dt ​= s+5

or (dv/ds)(​ds/dt) ​= s+5

or (dv/ds)v = s+5   (as ds/dt ​= v)

or vdv = (s+5)ds

Integrating both sides, ∫vdv=∫(s+5)ds

or v²​/2 = s²/2​+5s+C where C is integrating constant

When S = 0,v = 5,C = 25/2

So, v²/2 = s²/2+5s+25/2 or v² = s²+10s+25

or v² = (s+5)²

or v = s+5