FYKOS Year 38 Series 1 Problem 3 — a preschool with a teacher · FYKOS 38 #38.1.3

Physics · mechanics

Problem

Jarda is strolling through the square at a speed of

1.5\,\mathrm{m\cdot s^{-1}}

toward his favorite cake shop. The door to the cake shop is only

50\,\mathrm{m}

ahead of him when he notices a teacher leading a line of preschool children across his path. The teacher is positioned midway between Jarda and the door. The children are following her at a speed of

0.5\,\mathrm{m\cdot s^{-1}}

perpendicular to Jarda's path. Jarda wants to avoid passing through a ten-meter-long line of children to prevent them from joining him by mistake and to avoid inviting them for cake. When is the earliest Jarda can reach the cake shop if he does not change his speed?

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