Name:________________________ Date:________________________ AP Calculus BC Class Activity 6b: Vectors and Calculus Given the following vector functions for the position of a particle, find the velocity vector: Given the following vector functions for the position of a particle, find the acceleration vector: A particle moves in the plane so that its position at any time is given by Find the velocity and speed of the particle when . Is the particle moving to the left or to the right when . Use a calculator to draw the path of the particle. Draw this curve below. Also, draw in the velocity vector at . A particle moves in the plane so that its position function at any time is given by and . Find the velocity vector. Find