3-2.Motion in Plane
medium

A ball is thrown at different angles with the same speed $u$ and from the same point. It has the same range in both cases. If $y_1$ and $y_2$ be the heights attained in the two cases, then $y_1+y_2$ equals to

A

$\frac{{{u^2}}}{g}$

B

$\frac{{2{u^2}}}{g}$

C

$\frac{{{u^2}}}{{2g}}$

D

$\frac{{{u^2}}}{{4g}}$

Solution

$\theta , 90^o -\theta $

${y_1} = \frac{{{u^2}{{\sin }^2}\theta }}{{2g}}$ and ${y_2} = \frac{{{u^2}{{\cos }^2}\theta }}{{2g}}$

$\therefore {y_1} + {y_2} = \frac{{{u^2}{{\sin }^2}\theta }}{{2g}} + \frac{{{u^2}{{\cos }^2}\theta }}{{2g}}$

$\therefore {y_1} + {y_2} = \frac{{{u^2}}}{{2g}}$

Standard 11
Physics

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