A particle follows a path r(t) for 0 ≤ t ≤ T, beginning at the origin O. The vector  called the average velocity vector. Suppose that v̅ = 0. Answer and explain the following:

(a) Where is the particle located at time T if v̅ = 0?
(b) Is the particle’s average speed necessarily equal to zero?

1 = =+=+S T V= r' (t) dt is