Can there be motion in two dimensions with an acceleration only in one dimension?

Give an example of motion in two dimensions.

What is the dimension of [T] in angular acceleration?

What is an angular acceleration? Give its unit and dimensions.

What is dimension of G?

Give an example of motion in three dimensions.

The number of dimensions, a point has :

Define position vector and displacement vector in two dimensions.

Define displacement of a particle in linear motion in one dimension. Does it depend upon the origin? Can actual distance travelled by object in the time interval t to t' be greater than or equal to the magnitude of the displacement?