 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ib/paper-2/5c/c/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

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} .

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