加速度

${\displaystyle {\Delta }=t'-t}$

${\displaystyle {\Delta v}={\boldsymbol {v}}(t')-{\boldsymbol {v}}(t)}$

${\displaystyle {\boldsymbol {a}}=\lim _{\Delta t\to 0}{\Delta {\boldsymbol {v}} \over \Delta t}\equiv {\frac {d{\boldsymbol {v}}}{dt}}}$

${\displaystyle a_{r}={\frac {d^{2}r}{dt^{2}}}-r\!\left({\frac {d\theta }{dt}}\right)^{2}}$

${\displaystyle a_{\theta }={\frac {1}{r}}{\frac {d}{dt}}\!\left(r^{2}{\frac {d\theta }{dt}}\right)}$

${\displaystyle a(t)={\boldsymbol {a_{0}}}}$

${\displaystyle t=0}$

${\displaystyle {\boldsymbol {v(t)}}=v_{0}+a_{0}t}$

${\displaystyle {\boldsymbol {x(t)}}=x_{0}+v_{0}t+{\frac {1}{2}}a_{0}t^{2}}$

${\displaystyle {\boldsymbol {v(t)^{2}}}-{\boldsymbol {v_{0}^{2}}}=2a_{0}x(t)}$