When a particle goes around a curve it develops a tangential velocity and acceleration as well as a normal acceleration. To view the normal and tangential components on a curve refer to the image below.

To calculate the normal and tangential velocity and accelerations the following equations would be used.

**(Eq 1)** $v_t=v=\frac{ds}{dt}$

**(Eq 2)** $ a_t=\frac{dv_t}{dt}$

**(Eq 3)** $a_n=\frac{v^2}{r}$