Find the Velocity, Acceleration, and Speed of an Object with Position

Short Answer

Find the velocity, acceleration, and speed of an object with position function $\mathbf { r } ( t ) = \sin t \mathbf { i } + 6 \cos t \mathbf { j }$ for $t = \frac { \pi } { 4 }$ Sketch the path of the object and its velocity and acceleration vectors.