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

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Essay

Find the velocity, acceleration, and speed of an object with position function r(t)=4sinti+costj\mathbf { r } ( t ) = 4 \sin t \mathbf { i } + \cos t \mathbf { j } for t=π4t = \frac { \pi } { 4 } . Sketch the path of the object and its velocity and acceleration vectors.

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