Two balls are projected with the same velocity but with different angles with the horizontal. Their ranges are equal. If the angle of projection of one is $30^{\circ}$ and its maximum height is $h$, then the maximum height of other will be
Two balls are projected with the same velocity but with different angles with the horizontal. Their ranges are equal. If the angle of projection of one is $30^{\circ}$ and its maximum height is $h$, then the maximum height of other will be
- [KVPY 2020]
- A
$h$
- B
$3 h$
- C
$6 h$
- D
$10 h$
Similar Questions
A body of mass $1\,kg$ is projected with velocity $50\,m / s$ at an angle of $30^{\circ}$ with the horizontal. At the highest point of its path a force $10\,N$ starts acting on body for $5\,s$ vertically upward besides gravitational force, what is horizontal range of the body? $\left(g=10\,m/s^2\right)$
A body of mass $1\,kg$ is projected with velocity $50\,m / s$ at an angle of $30^{\circ}$ with the horizontal. At the highest point of its path a force $10\,N$ starts acting on body for $5\,s$ vertically upward besides gravitational force, what is horizontal range of the body? $\left(g=10\,m/s^2\right)$
Two bodies are projected with the same velocity. If one is projected at an angle of ${30^o}$ and the other at an angle of ${60^o}$ to the horizontal, the ratio of the maximum heights reached is
Two bodies are projected with the same velocity. If one is projected at an angle of ${30^o}$ and the other at an angle of ${60^o}$ to the horizontal, the ratio of the maximum heights reached is
- [AIIMS 2001]
A projectile is fired from the surface of the earth with a velocity of $5 \,m s^{-1}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3 \,m s^{-1}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in $\,m s^{-1}$) is
(Given $g = 9.8 \,m s^{-2}$)
A projectile is fired from the surface of the earth with a velocity of $5 \,m s^{-1}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3 \,m s^{-1}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in $\,m s^{-1}$) is
(Given $g = 9.8 \,m s^{-2}$)
- [AIPMT 2014]
Two projectiles are thrown with same initial velocity making an angle of $45^{\circ}$ and $30^{\circ}$ with the horizontal respectively. The ratio of their respective ranges will be.
Two projectiles are thrown with same initial velocity making an angle of $45^{\circ}$ and $30^{\circ}$ with the horizontal respectively. The ratio of their respective ranges will be.
- [JEE MAIN 2022]
A particle is projected from ground with velocity $u$ at angle $\theta$ from horizontal. Match the following two columns.
Column $I$
Column $II$
$(A)$ Average velocity between initial and final points
$(p)$ $u \sin \theta$
$(B)$ Change in velocity between initial and final points
$(q)$ $u \cos \theta$
$(C)$ Change in velocity between initial and final points
$(r)$ Zero
$(D)$ Average velocity between initial and highest points
$(s)$ None of the above
A particle is projected from ground with velocity $u$ at angle $\theta$ from horizontal. Match the following two columns.
| Column $I$ | Column $II$ |
| $(A)$ Average velocity between initial and final points | $(p)$ $u \sin \theta$ |
| $(B)$ Change in velocity between initial and final points | $(q)$ $u \cos \theta$ |
| $(C)$ Change in velocity between initial and final points | $(r)$ Zero |
| $(D)$ Average velocity between initial and highest points | $(s)$ None of the above |