Science:Math Exam Resources/Courses/MATH102/December 2014/Question B 07/Statement

A runner on an elliptical track described by the equation $x^{2}+{\dfrac {y^{2}}{4}}=900$ runs at a constant speed $v$ where $x$ and $y$ are measured in metres. Standing at the origin, you must rotate your head at 1/10 radians per second to watch her as she crosses the finish line located on the x axis. How fast is she running?