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

Essay

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