If $R$ and $H$ are the horizontal range and maximum height attained by a projectile, than its speed of projection is ..........
$\sqrt{2 g R+\frac{4 R^2}{g H}}$
$\sqrt{2 g H+\frac{R^2 g}{8 H}}$
$\sqrt{2 g H+\frac{8 H}{R g}}$
$\sqrt{2 g H+\frac{R^2}{H}}$
Choose the correct alternative $(s)$
On which does the value of range depend ? On which does the maximum value of range depend ?
Which of the following sets of factors will affect the horizontal distance covered by an athlete in a long-jump event
A particle is thrown with a velocity of $u \,m / s$. It passes $A$ and $B$ as shown in figure at time $t_1=1 \,s$ and $t_2=3 \,s$. The value of $u$ is ....... $m / s$ $\left(g=10 \,m / s ^2\right)$
Match the columns
Column $-I$ $R/H_{max}$ |
Column $-II$ Angle of projection $\theta $ |
$A.$ $1$ | $1.$ ${60^o}$ |
$B.$ $4$ | $2.$ ${30^o}$ |
$C.$ $4\sqrt 3$ | $3.$ ${45^o}$ |
$D.$ $\frac {4}{\sqrt 3}$ | $4.$ $tan^{-1}\,4\,=\,{76^o}$ |