Suppose a Particle Is Moving in the Xy-Plane So That $\mathbf { r } ( t ) = \left\langle t ^ { 3 } - t , t - t ^ { 2 } \right\rangle$

question 94

Essay

Suppose a particle is moving in the xy-plane so that its position vector at time t is given by $\mathbf { r } ( t ) = \left\langle t ^ { 3 } - t , t - t ^ { 2 } \right\rangle$ . Find the velocity, speed, and acceleration of the particle at time t = 2.

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