A partical is moving according to the position function s (t) = 2sin t-cos 2t, t 0

a) find the initial postion of the partical

b) find the velocity function

c) find the initial velocity of the partical

d) find the acceleration function

e) find the initial acceleration of the partical

f) jerk is defined as derivative of acceleration with respect to time. Find the jerk function

g) find the inital jerk of the partical

f) find the minimum and maximum value of the function s(t)