91Ó°ÊÓ

Particle Motion A particle is moving along the \(x\) -axis. The position of the particle at time \(t\) is given by $$x(t)=t^{3}-6 t^{2}+9 t-2, \quad 0 \leq t \leq 5$$ Find the total distance the particle travels in 5 units of time.

Particle Motion Repeat Exercise 103 for the position function given by $$x(t)=(t-1)(t-3)^{2}, \quad 0 \leq t \leq 5.$$