 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ia/paper-4/11c/d/solution

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

For

u = 0

, the equation becomes

\frac{ω ˙}{ω} = \frac{m ˙}{m},

ω / m

is constant. With

m (t) = m_{0} - μ t

ω (t) = ω_{0} \frac{m _{0} - μ t}{m _{0}} .

It reaches zero when the water is exhausted, at

t_{stop} = \frac{m _{0}}{μ} .

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