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.

Question

Quizplus · Accepted Answer

The Answer of 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.

Suppose a Particle Is Moving in the Xy-Plane So That r(t)=⟨t3−t,t−t2⟩\mathbf { r } ( t ) = \left\langle t ^ { 3 } - t , t - t ^ { 2 } \right\rangler(t)=⟨t3−t,t−t2⟩

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