A particle has displacement $s=t^3-6t^2+9t$. Find when it is at rest and its acceleration at the l

Question

A particle has displacement $s=t^3-6t^2+9t$. Find when it is at rest and its acceleration at the later time. Here $s$ is measured in distance units and $t\ge0$ in seconds.

Accepted Answer

At rest at $t=1,3$; later acceleration $6$ units s$^{-2}$.

Rest times and acceleration from displacement

Rest times and acceleration from displacement

Solution:

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