| Exam Board | OCR MEI |
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| Module | Paper 1 (Paper 1) |
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| Year | 2022 |
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| Session | June |
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| Topic | Connected Rates of Change |
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10 A triangle ABC is made from two thin rods hinged together at A and a piece of elastic which joins \(B\) and \(C\). \(A B\) is a 30 cm rod and \(A C\) is a 15 cm rod. The angle \(B A C\) is \(\theta\) radians as shown in the diagram.
The angle \(\theta\) increases at a rate of 0.1 radians per second.
Determine the rate of change of the length BC when \(\theta = \frac { 1 } { 3 } \pi\).