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]
- A
$3.5 $
- B
$5.9$
- C
$16.3$
- D
$110.8$
Similar Questions
A ball is projected from a point $O$ as shown in figure. It will strike the ground after ........ $s$ $\left(g=10 \,m / s ^2\right)$
A ball is projected from a point $O$ as shown in figure. It will strike the ground after ........ $s$ $\left(g=10 \,m / s ^2\right)$
Match the columns
Column $-I$
$R/H_{max}$
Column $-II$
Angle of projection $\theta $
$A.$ $1$
$1.$ ${60^o}$
$B.$ $4$
$2.$ ${30^o}$
$C.$ $4\sqrt 3$
$3.$ ${45^o}$
$D.$ $\frac {4}{\sqrt 3}$
$4.$ $tan^{-1}\,4\,=\,{76^o}$
Match the columns
| Column $-I$ $R/H_{max}$ |
Column $-II$ Angle of projection $\theta $ |
| $A.$ $1$ | $1.$ ${60^o}$ |
| $B.$ $4$ | $2.$ ${30^o}$ |
| $C.$ $4\sqrt 3$ | $3.$ ${45^o}$ |
| $D.$ $\frac {4}{\sqrt 3}$ | $4.$ $tan^{-1}\,4\,=\,{76^o}$ |
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A shell is fired from a fixed artillery gun with an initial speed $u$ such that it hits the target on the ground at a distance $R$ from it. If $t_1$ and $t_2$ are the values of the time taken by it to hit the target in two possible ways, the product $t_1t_2$ is
- [JEE MAIN 2019]
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