In common usage, motion refers to a change in position WITHOUT any reference to time. In that case the dimensions of motion are [L].
However, in physics and mathematics, motion is generally understood to be a change in position with respect to some period of time. In that case the dimensions are [L][T-1].
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Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.Simple harmonic motion (SHM) is in one dimension whereas oscillatory motion is 2-dimensional motion that is SHM in one dimension but linear in another.
Any simple harmonic motion is of the form x(t) = A cos(w t + a). Here the constant A with dimension [x] is called the amplitude.
A problem in motion along a straight line is a problem that takes place in one dimension. An example problem is an object on a straight conveyor belt.
Yes, and the classic example that all mathematics students study is the motion of a projectile. Typically a ball is thrown (or a cannonball fired) at an angle to the horizon and pupils study its trajectory. With some simplifying assumptions, the trajectory is a parabola. Ignoring air resistance (a simplifying assumption), the only acceleration is due to the downward acting force of gravity.
it has no dimension