A particle has displacement s=kt3-9t2+12t metres for t 0 seconds and is at rest when t=2. Find k, it

Question

A particle has displacement s=kt3-9t2+12t metres for t 0 seconds and is at rest when t=2. Find k, its other rest time, and prove it never returns to the origin after starting.

Accepted Answer

$k=2$; the other rest time is $1$ s. For $t>0$, displacement is positive, so it never returns to the origin.

Recovering a motion coefficient

Recovering a motion coefficient

Solution:

Solution locked