| Exam Board | CAIE |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2017 |
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| Session | November |
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| Topic | Simple Harmonic Motion |
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2 The piston in a large engine rises and falls in simple harmonic motion. When the piston is 1.6 m below its highest level, the rate of change of its height is \(\frac { 3 } { 5 } \pi\) metres per second. When the piston is 0.2 m below its highest level, the rate of change of its height is \(\frac { 1 } { 4 } \pi\) metres per second. Find the amplitude and period of the motion.