A particle has velocity v=6t-4 m,s-1 for t 0 seconds and initially has displacement 5 m. Find its di

Question

A particle has velocity v=6t-4 m,s-1 for t 0 seconds and initially has displacement 5 m. Find its displacement function, its displacement at t=2, and when it next returns to its initial position.

Accepted Answer

$s=3t^2-4t+5$ m; $s(2)=9$ m; next returns to its initial position at $t=\dfrac{4}{3}$ s.

Returning to an initial position

Returning to an initial position

Solution:

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