A moving dot P departs from O at an initial speed of 6 m/s and accelerates at 2m/s^2 in the east direction. 2 seconds after P's departure, dot Q departs from O to chase down P at a constant speed of k m/s in the east direction. What is the minimum speed, k, required for Q to eventually catch up to P?
The distance for P is given by 6t+t^2. For Q to catch up k(t-2)= 6t+t^2. To find the point do we have to compare the rate of change?If yes, why?