2. A particle is moving according to the position functions (t) = 2sint-cos 2t,t 0

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 function s (t). [4 marks]