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3-2.Motion in Plane
hard
A ball is thrown from a point on ground at some angle of projection. At the same time a bird starts from a point directly above this point of projection at a height $h$ horizontally with speed $u$. Given that in its flight ball just touches the bird at one point. Find the distance on ground where ball strikes
A$2u \sqrt {\frac{h}{g}}$
B$u\sqrt {\frac{{2h}}{g}}$
C$2u\sqrt {\frac{{2h}}{g}}$
D$u \sqrt {\frac{h}{g}}$
Solution
$v_{x}=u, h=\frac{v_{y}^{2}}{2 g}, v_{y}=\sqrt{2 g h}$
$R=\frac{2 V_{x} V_{y}}{g} \Rightarrow R=\frac{2 u \sqrt{2 g h}}{g} \Rightarrow R=2 u \sqrt{\frac{2 h}{g}}$
$R=\frac{2 V_{x} V_{y}}{g} \Rightarrow R=\frac{2 u \sqrt{2 g h}}{g} \Rightarrow R=2 u \sqrt{\frac{2 h}{g}}$
Standard 11
Physics