Moving dots

Calculus Level 3

A moving dot PP departs from OO at an initial speed of 6 m/s6\ \mbox{m/s} in the east direction, accelerating at 2 m/s22\ \mbox{m}\mbox{/s}^2. Two seconds after PP's departure, dot QQ departs from OO to chase down PP at a constant speed of k m/sk\ \mbox{m/s} in the east direction. What is the minimum speed, kk, required for QQ to eventually catch up to PP?

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