Position via constant speed and time
====================================

If a body is moving with constant speed, its position can be expressed as a linear function
of time.

**Conditions:**

#. Speed is constant, i.e. :math:`\frac{d v}{d t} = 0.`

**Links:**

#. `Wikipedia, derivable from the vector counterpart of this law <https://en.wikipedia.org/wiki/Kinematics#Relative_acceleration>`__.

.. py:currentmodule:: symplyphysics.laws.kinematics.position_via_constant_speed_and_time

.. py:data:: final_position

    :attr:`~symplyphysics.symbols.classical_mechanics.position` at :attr:`~time`.

Symbol:
    :code:`x`

Latex:
    :math:`x`

Dimension:
    :code:`length`


.. py:data:: initial_position

    :attr:`~symplyphysics.symbols.classical_mechanics.position` at :math:`t = 0`.

Symbol:
    :code:`x_0`

Latex:
    :math:`x_{0}`

Dimension:
    :code:`length`


.. py:data:: speed

    Constant :attr:`~symplyphysics.symbols.classical_mechanics.speed`.

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: time

    :attr:`~symplyphysics.symbols.basic.time` at which :attr:`~final_position` is measured.

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: law

    :code:`x = x_0 + v * t`


    Latex:
        .. math::
            x = x_{0} + v t