Mathematics

Mathematics

Problem

Two cars leave the same intersection at t=0t=0 hours. Car P travels east with a velocity (in mph) given by vP(t)=30−4tv_P(t)=30-4t, while Car Q travels north at a constant 10 mph. At what time, in hours, does the distance between the cars stop increasing? a) 12.5 h12.5\text{ h} b) 10 h10\text{ h} c) 5 h5\text{ h} d) 7.5 h7.5\text{ h}

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