Question: Applied mathematics question Question ! a A particle moves along a curve whose parametric equations are r = 2 and y = 412 - 4t,

Applied mathematics question

Question ! a A particle moves along a curve whose parametric equations are r = 2 and y = 412 - 4t, where t is the time. (i) Sketch the trajectory of the particle. (ii) Find the velocity and the acceleration of the particle. (iii) Find the transverse component of the acceleration. (iv) Deduce the radial component of the acceleration. [2 + 4+ 2 + 2 marks] b A particle P oscillates in simple harmonic motion between the points A and B. where AB = 16 m. The period of the motion is #s. Find the speed of P when it is 1 m from B. [5 marks]

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