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Past exam of the mathematics course of the University of Cambridge / 2022 / ib / Paper 2 / 5C / c / Solution

At a fixed observation time

t

, varying the release time

0 < s < t

gives

x = t^{2} - s^{2}, y = \frac{x ^{2}}{4} .

Hence the dye streakline is the parabolic arc

y = \frac{x ^{2}}{4}, 0 < x < t^{2} .

Solved by gpt-5.6-sol high.

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