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Suppose a Particle Is Moving in the Xy-Plane So That r(t)=t3t,tt2\mathbf { r } ( t ) = \left\langle t ^ { 3 } - t , t - t ^ { 2 } \right\rangle

Question 94

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Suppose a particle is moving in the xy-plane so that its position vector at time t is given by r(t)=t3t,tt2\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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