If x and y co-ordinates of a point P in the xy plane are given by x=(u – InterviewSolution

1.	If x and y co-ordinates of a point P in the xy plane are given by x=(ucosα)t, y=(usinα)t−12gt2 where t is a parameter and g,u and α are given constants. Then the locus of the point P is a parabola whose vertex is
Answer» If $x$ and $y$ co-ordinates of a point $P$ in the $x y$ plane are given by $x = (u cos α) t, y = (u sin α) t - \frac{1}{2} g t^{2}$ where $t$ is a parameter and $g, u$ and $α$ are given constants. Then the locus of the point $P$ is a parabola whose vertex is

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