(f) State any two Kepler's laws regarding planetary motion.
(2 marks)
(g) A passenger in a train moving at 30m/s passes a man standing on a stationary platform at t=t'=0. Twenty seconds after the train passes him, the man on the platform determines that a bird flying along the tracks in the same direction as the train is 800m away. What is the coordinate of the bird as determined by the passenger? (3 marks)
(h) What is a central force? State two examples of central force
(2 marks)
(i) Derive the Hamilton's equation for a one-dimensional simple harmonic oscillator?
(7 marks)

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