Acceleration is velocity derivative
===================================

**Acceleration** is the derivative of velocity w.r.t. time.

**Notes:**

#. Also see :ref:`the scalar counterpart <Acceleration is speed derivative>` of this law.

**Links:**

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

.. py:currentmodule:: symplyphysics.definitions.vector.acceleration_is_velocity_derivative

.. py:data:: time

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

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: acceleration

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

Symbol:
    :code:`a(t)`

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

Dimension:
    :code:`acceleration`


.. py:data:: velocity

    Vector of the body's velocity as a function of :attr:`~time`. Also see :attr:`~symplyphysics.symbols.classical_mechanics.speed`.

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)