Question

A particle PPP is moving with respect to a stationary reference frame with its position vector defined by (a cos(ωt) * i + a sin(ωt) * j + b t * k).

Answer 1

The particle's position vector represents circular motion in a two-dimensional plane with a constant velocity in the k direction.

Step-by-step explanation:

The particle's position vector is given by r(t) = a cos(ωt)i + a sin(ωt)j + btj.

Here, the particle is moving in a two-dimensional plane, with the x and y coordinates given by a cos(ωt) and a sin(ωt) respectively. The z-coordinate is given by bt, indicating that the particle is moving along the k direction at a constant velocity of b.

This motion represents a circular path in the x-y plane, with radius a and frequency ω.