Momentum derivative of kinetic energy is speed
==============================================

The general formula for the kinetic energy of an object features its speed and momentum. This way it can be used
not only in the case of variable mass, but also in the relativistic case.

**Links:**

#. `Wikipedia, derivable from here <https://en.wikipedia.org/wiki/Kinetic_energy#With_vector_calculus>`__.

.. py:currentmodule:: symplyphysics.laws.dynamics.momentum_derivative_of_kinetic_energy_is_speed

.. py:data:: speed

    The :attr:`~symplyphysics.symbols.classical_mechanics.speed` of the object.

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: momentum

    The :attr:`~symplyphysics.symbols.classical_mechanics.momentum` of the object as a function of :attr:`~speed`.

Symbol:
    :code:`p(v)`

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

Dimension:
    :code:`momentum`


.. py:data:: kinetic_energy

    The :attr:`~symplyphysics.symbols.classical_mechanics.kinetic_energy` of the object as a function of :attr:`~momentum`.

Symbol:
    :code:`K(p(v))`

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

Dimension:
    :code:`energy`


.. py:data:: law

    :code:`Derivative(K(p(v)), p(v)) = v`


    Latex:
        .. math::
            \frac{d}{d p{\left(v \right)}} K{\left(p{\left(v \right)} \right)} = v