Two bodies are thrown up at angles of $45^o $ and $60^o $, respectively, with the horizontal. If both bodies attain same vertical height, then the ratio of velocities with which these are thrown is

  • A

    $\sqrt {\frac{2}{3}} $

  • B

    $\frac{2}{{\sqrt 3 }}$

  • C

    $\sqrt {\frac{3}{2}} $

  • D

    $\frac{{\sqrt 3 }}{2}$

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A ball is projected at an angle $45^o$ with horizontal. It passes through a wall of height $h$  at horizontal distance $d_1$ from the point of projection and strikes the ground at a  horizontal distance $(d_1 + d_2)$ from the point of projection, then $h$ is

Define projectile motion and projectile particle.

Given that $u_x=$ horizontal component of initial velocity of a projectile, $u_y=$ vertical component of initial velocity, $R=$ horizontal range, $T=$ time of flight and $H=$ maximum height of projectile. Now match the following two columns.

Column $I$ Column $II$
$(A)$ $u_x$ is doubled, $u_y$ is halved $(p)$ $H$ will remain unchanged
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The speed of a projectile at its maximum height is half of its intial speed. The angle of projection is ......... $^o$

  • [AIPMT 2010]

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