A particle has velocity v=3(t-1)2 m,s-1 for t 0 seconds and initial displacement -1 m. Find its disp

Question

A particle has velocity v=3(t-1)2 m,s-1 for t 0 seconds and initial displacement -1 m. Find its displacement and show that it crosses the origin while at rest, without reversing direction.

Accepted Answer

$s=(t-1)^3$ m. It crosses the origin at rest at $t=1$ s; velocity stays positive on both sides, so it does not reverse.

Crossing the origin at rest

Crossing the origin at rest

Solution:

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