A particle moves along a straight line so that its displacement from the origin at…

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A particle moves along a straight line so that its displacement from the origin at time

t

seconds is given by

s(t)=\sqrt{4+9\,\ln(1+2t^{3})}

. (i) Obtain the expression for its velocity

v(t)

. (ii) Hence find its acceleration

a(t)

. (iii) Calculate the value of

a(1)

, giving the exact answer.