Mathematics

Problem

A particle moves on a coordinate line with acceleration

a(t)=4\sqrt{t}\,\text{m/s}^2

for

0\le t\le 9

. Its velocity and position at

t=0

are

v(0)=1\,\text{m/s}

and

s(0)=-2\,\text{m}

, respectively. Determine the particle’s position (in m) when

t=9\,\text{s}