# calculus

posted by
**Naseba**
.

A particle moves on the x-axis so that its velocity at any time t is given by v(t) = sin 2t. At t = 0, the particle is at the origin.

a)For 0 ≤ t ≤ π, 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 ≤ π/2, find the average value of the position function determined in part b.