The position vector of a particle moving in a plane is given by . Find the velocity.

Name: The position vector of a particle moving in a plane is given by . Find the velocity.
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Question

The position vector of a particle moving in a plane is given by  . Find the velocity.

Quizplus · Accepted Answer

We can find the velocity by taking the derivative of the position vector with respect to time: 
v = d/dt(11e^(at) + bcos(ct) + dsin(ct)) = 11ae^(at) - bcsin(ct) + dccos(ct) 
Substituting the given values of a, b, c, and d: 
v = 11(2)e^(2t/5) - 4cos(3t/4) + 5sin(3t/4) 
Simplifying this expression gives us choice B.

The Position Vector of a Particle Moving in a Plane