The motion of a particle restricted to move in a two dimensional plane is given by
`x = 2 cos pi t`
and `y = 1 - 4 cos 2 pi t`
where x and y are in metres and `t` is in seconds. Show that the path of the particle is a part of parabola `y = 5 - 2 x^(2)`. Find the velcoity and the acceleration of particle at `t = 0` and `t = 1.5 s`.

Answer

[0, 158.98 `m//s^(2)`, `6.2 m//s, 157.75 m//s^(2)`]