Speed is distance derivative
============================

Speed is a physical quantity that describes the rate of change in the body's position.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Velocity#Instantaneous_velocity>`__.

.. py:currentmodule:: symplyphysics.definitions.speed_is_distance_derivative

.. py:data:: time

    Travel :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: speed

    :attr:`~symplyphysics.symbols.classical_mechanics.speed` of the body as a function of time.

Symbol:
    :code:`v(t)`

Latex:
    :math:`v{\left(t \right)}`

Dimension:
    :code:`velocity`


.. py:data:: distance

    :attr:`~symplyphysics.symbols.classical_mechanics.distance` traveled by the body as a function of time.

Symbol:
    :code:`s(t)`

Latex:
    :math:`s{\left(t \right)}`

Dimension:
    :code:`length`


.. py:data:: definition

    :code:`v(t) = Derivative(s(t), t)`


    Latex:
        .. math::
            v{\left(t \right)} = \frac{d}{d t} s{\left(t \right)}