(D) The bullet exhibits horizontal projectile motion.Vertical displacement of the bullet,$y = 15 \ cm = 0.15 \ m$.Horizontal displacement of the bulle

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(D) The bullet exhibits horizontal projectile motion.Vertical displacement of the bullet,$y = 15 \ cm = 0.15 \ m$.Horizontal displacement of the bullet,$x = 150 \ m$.Using the equation of trajectory for horizontal projection,$y = \frac{g x^2}{2 u^2}$.Substituting the values: $0.15 = \frac{10 \times 150^2}{2 u^2}$.Rearranging for $u^2$: $u^2 = \frac{10 \times 22500}{2 \times 0.15} = \frac{225000}{0.3} = 750000$.Taking the square root: $u = \sqrt{750000} = \sqrt{250000 \times 3} = 500 \sqrt{3} \ m \ s^{-1}$.

Class 11 Physics 3-2.Motion in Plane Horizontal Projectile Motion

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Two paper screens $A$ and $B$ are separated by $150 \ m$. $A$ bullet pierces $A$ and then $B$. The hole in $B$ is $15 \ cm$ below the hole in $A$. If the bullet is traveling horizontally at the time of hitting $A$,then the velocity of the bullet at $A$ is: $(g=10 \ m \ s^{-2})$

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A
$100 \sqrt{3} \ m \ s^{-1}$
B
$200 \sqrt{3} \ m \ s^{-1}$
C
$300 \sqrt{3} \ m \ s^{-1}$
D
$500 \sqrt{3} \ m \ s^{-1}$

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3-2.Motion in Plane

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Horizontal Projectile Motion

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Two paper screens $A$ and $B$ are separated by $150 \ m$. $A$ bullet pierces $A$ and then $B$. The hole in $B$ is $15 \ cm$ below the hole in $A$. If the bullet is traveling horizontally at the time of hitting $A$,then the velocity of the bullet at $A$ is: $(g=10 \ m \ s^{-2})$

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$A$ body is projected from the ground at an angle of $45^{\circ}$ with the horizontal. Its velocity after $2 \, s$ is $20 \, m/s$. The maximum height reached by the body during its motion is $m$. (use $g = 10 \, m/s^2$)

$A$ piece of marble is projected from the Earth's surface with a velocity of $19.6 \sqrt{2} \ m/s$ at an angle of $45^{\circ}$. $2 \ s$ later,its velocity makes an angle $\alpha$ with the horizontal,where $\alpha$ is $..........$ (in $^{\circ}$)

$A$ cannon on a level plane is aimed at an angle $\theta$ above the horizontal and a shell is fired with a muzzle velocity $v_0$ towards a vertical cliff a distance $D$ away. Then the height from the bottom at which the shell strikes the side walls of the cliff is

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