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  4. A ball of mass m is thrown vertically upward. Another ball of mass 2 m is thrown an angle θ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is (1/x). The value of x is

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Q. A ball of mass $m$ is thrown vertically upward. Another ball of mass $2 m$ is thrown an angle $\theta$ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is $\frac{1}{x}$. The value of $x$ is_______

JEE MainJEE Main 2022Motion in a Straight Line

Solution:

Time of flight is same
$\Rightarrow$ vertical component of velocity is same
$\Rightarrow H _{\max }$ is same