Question

The acceleration of a body depends on displacement as a =3s+7. If for s=0, v=2.8m/s, then velocity as a function of s will be? (all variables are in S.I units)​

Answer 1

$Here, a=s+5</p><p></p><p>So, dtdv=s+5</p><p></p><p>or dsdvdtds=s+5</p><p></p><p>or dsdvv=s+5   (as dtds=v)</p><p></p><p>or vdv=(s+5)ds</p><p></p><p>Integrating both sides, ∫vdv=∫(s+5)ds \\ </p><p></p><p>or 2v2=2s2+5s+C where C is integrating constant</p><p></p><p>When S=0,v=5,C=25/2</p><p></p><p>So, v2/2=s2/2+5s+25/2 or v2=s2+10s+25</p><p></p><p>or v2=(s+5)2</p><p></p><p>or v=s+5</p><p></p><p>$

Answer 2

Answer: 1.07 S + 2.5 is correct