The position vector describes a particle moving through 3-D space, where time tis measured in seconds and the position of the particle with respect to the origin (i.e. the x-,y-, and z-coordinates) are measured in meters. ar(t)=(:sin(2t),cos(2t),t:)x-,y-, and z-coordinates4 seconds after the particle starts moving? Roundto three decimal places.ct=4 seconds. (Hint: Recall that speed= distancetime, and you can use the 3-D formula for finding the distance between 2points in space).er(t), find r'(4) and |r'(4)|, and interpret what each one of thesevalues means.