If the time of flight of a bullet over a horizontal range $R$ is $T\, seconds$, the inclination of the direction of projection to the horizontal is
If the time of flight of a bullet over a horizontal range $R$ is $T\, seconds$, the inclination of the direction of projection to the horizontal is
- A
${\sin ^{ - 1}}\,\left( {\frac{{g{T^2}}}{R}} \right)$
- B
${\tan ^{ - 1}}\,\left( {\frac{{g{T^2}}}{{2R}}} \right)$
- C
${\cos ^{ - 1}}\,\left( {\frac{{2g{T^2}}}{{2R}}} \right)$
- D
${\cot ^{ - 1}}\,\left( {\frac{R}{{g{T^2}}}} \right)$
Similar Questions
In the figure shown, velocity of the particle at $P \,(g = 10\,m/s^2)$
In the figure shown, velocity of the particle at $P \,(g = 10\,m/s^2)$
A ball is dropped from a height of $49\,m$. The wind is blowing horizontally. Due to wind a constant horizontal acceleration is provided to the ball. Choose the correct statement (s). (Take $g=9.8\,m / s ^2$ )
A ball is dropped from a height of $49\,m$. The wind is blowing horizontally. Due to wind a constant horizontal acceleration is provided to the ball. Choose the correct statement (s). (Take $g=9.8\,m / s ^2$ )
A particle is projected horizontally from a tower with velocity $10\,m / s$. Taking $g=10\,m / s ^2$. Match the following two columns at time $t=1\,s$.
Column $I$
Column $II$
$(A)$ Horizontal component of velocity
$(p)$ $5$ SI unit
$(B)$ Vertical component of velocity
$(q)$ $10$ SI unit
$(C)$ Horizontal displacement
$(r)$ $15$ SI unit
$(D)$ Vertical displacement
$(s)$ $20$ SI unit
A particle is projected horizontally from a tower with velocity $10\,m / s$. Taking $g=10\,m / s ^2$. Match the following two columns at time $t=1\,s$.
| Column $I$ | Column $II$ |
| $(A)$ Horizontal component of velocity | $(p)$ $5$ SI unit |
| $(B)$ Vertical component of velocity | $(q)$ $10$ SI unit |
| $(C)$ Horizontal displacement | $(r)$ $15$ SI unit |
| $(D)$ Vertical displacement | $(s)$ $20$ SI unit |
An aeroplane flying at a constant velocity releases a bomb.As the bomb drops down from the aeroplane,
An aeroplane flying at a constant velocity releases a bomb.As the bomb drops down from the aeroplane,
Two guns $A$ and $B$ can fire bullets at speed $1\, km/s$ and $2\, km/s$ respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is
Two guns $A$ and $B$ can fire bullets at speed $1\, km/s$ and $2\, km/s$ respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is
- [JEE MAIN 2019]