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

Question 147

Essay

Find the velocity, acceleration, and speed of an object with position function r(t)=3ti+(6−t2)j\mathbf { r } ( t ) = 3 t \mathbf { i } + \left( 6 - t ^ { 2 } \right) \mathbf { j } for t=1t = 1 . Sketch the path of the object and its velocity and acceleration vectors.

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