Question

What is the time the particles is monetarily at rest using S = 2t³-3t²-5t

Answer 1

$$S = 2t³-3t²-5t$$

$$v=S' =(2t³-3t²-5t)'=6t^2-6t-5$$

At rest

$$6t^2-6t-5=0$$

Root

$$t=1.54\:\rm s$$