If $R$ and $H$ represent the horizontal range and the maximum height achieved by a projectile then which of the relation exists?
$\frac{H}{R} = 4\,\cot \,\theta $
$\frac{R}{H} = 4\,\cot \,\theta $
$\frac{H}{R} = 4\,\tan \,\theta $
$\frac{R}{H} = 4\,\tan \,\theta $
A projectile is thrown with velocity $U=20\ m/s ± 5\%$ at an angle $60^o.$ If the projectile falls back on the ground at the same level then ......... $m$ of following can not be a possible answer for range.
At $t = 0$ a projectile is fired from a point $O$(taken as origin) on the ground with a speed of $50\,\, m/s$ at an angle of $53^o$ with the horizontal. It just passes two points $A \& B$ each at height $75 \,\,m$ above horizontal as shown. The horizontal separation between the points $A$ and $B$ is ........ $m$
Projectiles $A$ and $B$ are thrown at angles of $45^{\circ}$ and $60^{\circ}$ with vertical respectively from top of a $400 \mathrm{~m}$ high tower. If their ranges and times of flight are same, the ratio of their speeds of projection $v_A: v_B$ is :
A projectile is thrown with a velocity of $10\,m / s$ at an angle of $60^{\circ}$ with horizontal. The interval between the moments when speed is $\sqrt{5 g}\,m / s$ is $..........\,s$ $\left(g=10\,m / s ^2\right)$.
If the time of flight of a bullet over a horizontal range $R$ is $T$, then the angle of projection with horizontal is ......