The position vector \(\mathbf{r}\) describes the path of an object moving in space. (a) Find the velocity vector, speed, and acceleration vector of the object. \(\mathbf{v}(t)=\) Your answer cannot be understood or graded. More Information \(\mathbf{a}(t)=\)(b) Evaluate the velocity vector and acceleration vector of the object at the given value of \( t \).\[\mathbf{v}(1)=\]\[\mathbf{a}(1)=\]