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A particle moves in the xy plane so that at any time t, the position of the particle can be described by the parametric equations

Determine the velocity vector that will determine its velocity at any given time

Solve motion problems using parametric and vector-valued functions

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Related questions

A particle in the plane with position vector ~

Rectilinear Motion In Exercises 65-68, consider a particle moving along the x-axis, where x(t) is the position of the particle at time t, x’(t) is its velocity, and x’’(t) is its acceleration.

A particle, initially at rest, moves along the x-axis such that its acceleration at time is given by . At time , its position is

(a) Find the velocity and position functions for the particle.

(b) Find the values of t for which the particle is at rest.

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