Chapter 5.7, Problem 8ES

A particle moves along an s-axis. Use the given information to find the position function of the particle.

(a) $\upsilon \left(t\right)=t^{2/3};s\left(8\right)=0$

(b) $a\left(t\right)=\sqrt{t};\upsilon \left(4\right)=1;s\left(4\right)=-5$