Mathematics

Mathematics

Problem

Runner A starts at the origin and runs east at 5 m/s5\text{ m/s}. Runner B starts 20 m20\text{ m} north of the origin and runs south along the yy-axis at 2 m/s2\text{ m/s}. Let t=0t=0 when the runners start. Determine the time tt (in seconds) at which the distance between the runners is minimized.

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