A particle moves on the X-axis so that its velocity at any time t is given by v(t)=sin2t. At t=0, the particle is at the origin.

a.) For 0<=t<= pi, find all values of t for which the particle is moving to the left

b.) Write an expression for the position of the particle at any time t.

c.) For 0<=t<=pi/2, find the average value of the position function determined in part (b)

a.) the particle is moving to the left from (pi/2,pi)

b.) p(t)=-.5cos(2t)+.5

c.) 2pi*the integral of sin(2t) from [0.pi/2]

is that all correct?