Acceleration is speed derivative
================================

*Acceleration* describes how quickly speed changes with time.

**Notes:**

#. It still holds for special relativity and general relativity cases, but general relativity requires
    4-velocity and 4-acceleration instead of speed and acceleration.
    See `Wikipedia – Acceleration (special relativity) <https://en.wikipedia.org/wiki/Acceleration_(special_relativity)>`__ for reference.

**Links:**

#. `Wikipedia – Instantaneous acceleration <https://en.wikipedia.org/wiki/Acceleration#Instantaneous_acceleration>`__

.. py:currentmodule:: symplyphysics.classical_mechanics.kinematics.translational_motion.acceleration_is_speed_derivative

.. py:data:: time

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

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: acceleration

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

Symbol:
    :code:`a(t)`

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

Dimension:
    :code:`acceleration`


.. 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:: law

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


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