2. A particle is moving according to the position functions (t) = 2sin t-cos 2t, t...

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2. A particle is moving according to the position functions (t) = 2sin t-cos 2t, t≥ 0[7 marks] a) Find the initial position of the particle. [1] b) Find the velocity function. [1] c) Find the initial velocity of the particle. [1] d) Find the acceleration function. [1] e) Find the initial acceleration of the particle. [1] f) Jerk is defined as derivative of acceleration with respect to time. Find the jerk function. [1] g) Find the initial jerk of the particle. [1] h) Find the minimum and the maximum value of the functions (t). [4 marks] 2. A particle is moving according to the position functions (t) = 2sin t-cos 2t, t≥ 0[7 marks] a) Find the initial position of the particle. [1] b) Find the velocity function. [1] c) Find the initial velocity of the particle. [1] d) Find the acceleration function. [1] e) Find the initial acceleration of the particle. [1] f) Jerk is defined as derivative of acceleration with respect to time. Find the jerk function. [1] g) Find the initial jerk of the particle. [1] h) Find the minimum and the maximum value of the functions (t). [4 marks]