Eliminating the parameter gives $x^2+y^2/4=1$, an <ellipse> centered at the origin with horizontal semiaxis one and vertical semiaxis two. At $t=0$ the particle is at $(1,0)$ with <velocity> $(0,2)$, so it travels \b[counterclockwise], reaching $(0,2),(-1,0),(0,-2)$ successively and returning after $2\pi$. The right panel of the graph figure shows this direction.

Solution

Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2009 / Paper 1 / 10 / a / Solution

 Solution (source code)