Question
A particle is projected from a horizontal plane ($x-z$ plane) such that its velocity vector at time t is given by $\vec V = a\hat i + (b - ct)\hat j$ Its range on the horizontal plane is given by
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Answer
$\vec{v}=a i+(b-c i) j$
$\Rightarrow \quad v_{x}=a \quad v_{y}=b-c t$
$a_{y}=\frac{d v_{y}}{d t}=-c$
$R=\frac{2 u_{x} u_{y}}{a_{y}} \Rightarrow R=\frac{2 a b}{c}$
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