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I have two questions

1) How the radial and traversal unit vectors are vector funcitons of scalar variable θ (angle between the position vector and polar axis.

2) To find velocity and accleration in polar co ordinates why it is need to write the traversal and radial unit vectors by transforming its basis to cartesian co ordinate basis i,j? I have little bit idea that it is for our convenience that we are transforming basis to simplify the problem to get the velocity, but i don't know tell how it is convenient

1) How the radial and traversal unit vectors are vector funcitons of scalar variable θ (angle between the position vector and polar axis.

2) To find velocity and accleration in polar co ordinates why it is need to write the traversal and radial unit vectors by transforming its basis to cartesian co ordinate basis i,j? I have little bit idea that it is for our convenience that we are transforming basis to simplify the problem to get the velocity, but i don't know tell how it is convenient

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