Question

A particle is moving along a straight line path according to the relation s² = at² + 2bt + c s represents the distance travelled in t seconds and a, b, c are constants. Then the acceleration of the particle varies as
(a) s⁻³
(b) $s^{{3}/{2}}$(c) $s^{-{2}/{3}}$
(d) s²

Answer 1

Given,

s2=at2+2bt+cDifferentiating,2sdsdt=2at+2bor dsdt=at+bsAgain differentiating,d2sdt=a.s−(at+b)