Projectile from a Height

Q.

A bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is taken into consideration, the bomb

1. Falls to earth exactly below the aeroplane

2. Falls to earth ahead of the aeroplane

3. Fall to earth behind the aeroplane

4. Flies with the aeroplane

Q. A boy stands at 39.2m from a building and throw a ball which just passes through a window 19.6 m above the ground , find velocity of projection

Q. A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s-1. What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position

Q.

Figure shows a particle sliding on a frictionless track which terminates in a straight horizontal section. If the particle starts slipping from the point A, how far away from the track will the particle hit the ground?

1. 4 m

2. 0 m

3. 1 m

4. 2 m

Q. Ball bearings leave the horizontal trough with a velocity of magnitude $u$ and fall through the $70mm$ diameter hole as shown. Calculate the permissible range of $u$ which will enable the balls to enter the hole. Take the dotted positions to represent the limiting conditions. (Take $g=10m/s^2\text{and}\sqrt{10}=3.2$)

1. $u=0.62m/s$ to $1.01m/s$
2. $u=0.76m/s$ to $1.16m/s$
3. $u=0.43m/s$ to $1.91m/s$
4. $u=0.80m/s$ to $1.03m/s$

Q.

A food packet is dropped from a plane going at an altitude of 100 m. What is the path of the packet as seen from the plane?

1. A parabolic path

2. A straight line in the south east direction

3. A straight line moving in the south west direction

4. Straight line perpendicular to the horizontal

Q.

A hollow sphere of radius r rolls down a rough inclined plane of inclination ${30}^{\circ }$ with the horizontal. If it starts from rest at the top and reaches the bottom of the plane 2.5 m long, the velocity of the centre of the sphere is ( Take g = 10 m $s^2$ )

1. 

2. 

3. 

4. 

Q. A motorcycle stunt rider rides off the edge of a cliff. Just at the edge, his velocity is horizontal with magnitude $9.0\text{m/s}$. Find the motorcycle’s distance from the edge of the cliff and velocity after $0.5\text{s}$.

1. Distance $=\frac{349}{4}\text{m}$, Velocity $=\sqrt{106}\text{m/s}$
2. Distance $=\frac{\sqrt{349}}{2}\text{m}$, Velocity $=\sqrt{106}\text{m/s}$
3. Distance $=\frac{\sqrt{349}}{4}\text{m}$, Velocity $=106\text{m/s}$
4. Distance $=\frac{\sqrt{349}}{4}\text{m}$, Velocity $=\sqrt{106}\text{m/s}$

Q. Two bodies are projected horizontally at the same time from the top of a tower of height $78.4\text{m}$. If their velocities are $30\text{m/s}$ and $40\text{m/s}$ respectively, find the difference between the times taken by them for hitting the ground.

1. $2\text{sec}$
2. $4\text{sec}$
3. $1\text{sec}$
4. zero

Q.

A bomb is dropped from an aeroplane moving horizontally at constant speed. When air resistance is taken into consideration, the bomb

1. Falls to earth exactly below the aeroplane

2. Fall to earth behind the aeroplane

3. Falls to earth ahead of the aeroplane

4. Flies with the aeroplane

Q.

An aeroplane is flying horizontally with a constant velocity of 600 km/hr at an elevation of 6 km above a target(on the earth's surface).At an appropriate time, the pilot releases a ball so that it strikes the target on earth. The ball will appear to be falling

1. Vertically along a straight path as seen by an observer on the ground near the target

2. On a parabolic path as seen by an observer on the ground near the target

3. On a zig-zag path as seen by pilot in the plane

4. On a parabolic path as seen by pilot in the plane

Q.

A particle (A) is dropped from a height and another particle (B) is thrown in horizontal direction with speed of 5 m/sec from the same height. The correct statement is

1. Both particles will reach at ground simultaneously

2. Both particles will reach at ground with same speed

3. Particle (A) will reach at ground first with respect to particle (B)

4. Particle (B) will reach at ground first with respect to particle (A)

Q. A body is projected from the top of a tower of height $32\text{m}$ with a velocity of $20\text{m/s}$ at an angle of ${37}^{\circ }$ above the horizontal. Find the angle below the horizontal with which it hits the ground.
(Take $g=10m/s^2$)

1. ${\tan }^{-1}\left(\frac{-3}{4}\right)$
2. ${\tan }^{-1}\left(\frac{3}{4}\right)$
3. ${\tan }^{-1}\left(\frac{7}{4}\right)$
4. ${\tan }^{-1}\left(\frac{-7}{4}\right)$

Q. 26.a ball is projected from the ground . It just touches the top of 6m high wall at a distance of 4m and strikes the ground 8m behind the wall. calculate the angle of projection and velocity of projection Click here to view details:

Q. A plane is flying horizontally at $98m/s$ and releases an object which reaches the ground in 10 seconds. The angle made by it when it hits the ground is

1. ${30}^{\circ }$
2. ${45}^{\circ }$
3. ${60}^{\circ }$
4. ${75}^{\circ }$

Q. A body is projected from the top of a tower of height $32\text{m}$ with a velocity of $20\text{m/s}$ at an angle of ${37}^{\circ }$ above the horizontal.Find the velocity with which it hits the ground.
(Take $g=10m/s^2$)

1. $32.25\text{m/s}$
2. $16\text{m/s}$
3. $20\text{m/s}$
4. $28\text{m/s}$

Q.

A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground

1. One after the other

2. Simultaneously

3. Depends on the observer

4. None of the above

Q. As shown in the figure, a projectile is fired with a horizontal velocity of $330\text{m/s}$ from the top of a cliff $80\text{m}$ high. (a) How long will it take for the projectile to strike the level ground at the base of the cliff? (b) How far from the foot of the cliff will it strike? (c) With what velocity will it strike?
(Take $g=10m/s^2$)

1. (a) $16\text{s}$ (b) $5280\text{m}$ (c) $366.7\text{m/s}$
2. (a) $4\text{s}$ (b) $1320\text{m}$ (c) $330\text{m/s}$
3. (a) $4\text{s}$ (b) $1320\text{m}$ (c) $332.4\text{m/s}$
4. (a) $8\text{s}$ (b) $2640\text{m}$ (c) $332.4\text{m/s}$

Q. a ball is thrown from ground with speed u at an angle theta with the horizontal , at the same ins†an t from the same position a boy runs along the ground with speed \sqrt3/2 to catch the ball.if the boy is able to catch the ball, the angle of projection theta is

Q. During a tennis match, a player serves at $23.6{\text{ms}}^{-1}$, the ball leaving the racquet horizontally $2.37\text{m}$ above the court surface. By how much does the ball clear the net which is $12\text{m}$ away and $0.9\text{m}$ high?
(Take $g=10m/s^2$)

1. $0.17\text{m}$
2. $2.2\text{m}$
3. $1.3\text{m}$
4. $0.9\text{m}$

Q. A particle $A$ is dropped from a height and another particle $B$ is projected in horizontal direction with speed of $5m/s$ from the same height, then correct statement is

1. particle $A$ will reach at ground first with respect to particle $B$.
2. particle $B$ will reach at ground first with respect to particle $A$
3. both particles will reach at ground simultaneously.
4. both particles will reach at ground with same speed.

Q. As shown in the figure a projectile is fired with a horizontal velocity of $330\text{m/s}$ from the top of a cliff $80\text{m}$ high. How far from the foot of the cliff will it strike?

1. $660\text{m}$
2. $1320\text{m}$
3. $330\text{m}$
4. $2640\text{m}$

Q.

A ball is rolled off the edge of a horizontal table at a speed of 4 m/second. It hits the ground after 0.4 second. Which statement given below is true

1. It hits the ground at a horizontal distance 1.6 m from the edge of the table

2. The speed with which it hits the ground is 4.0 m/second

3. Height of the table is 0.8 m

4. It hits the ground at an angle of 60^o to the horizontal

Q. A body is projected horizontally from the top of a tower with an initial velocity of $18{\text{ms}}^{-1}$. It hits the ground at an angle of ${45}^{\circ }$ with horizontal. What is the vertical component of velocity when the body strikes the ground?

1. $9\text{m/s}$
2. $9\sqrt{2}\text{m/s}$
3. $18\text{m/s}$
4. $18\sqrt{2}\text{m/s}$

Q. Two particles are projected from the top of a tower with velocities $10\text{m/s}$ and $80\text{m/s}$ in horizontal but in opposite directions. After what time $t$ their velocity vectors will be mutually perpendicular to each other? (Take $g=10{\text{m/s}}^2$)

1. $2\sqrt{2}\text{sec}$
2. $2\text{sec}$
3. $8\text{sec}$
4. $4\text{sec}$

Q. A boy standing on the viewing platform of the Qutub Minar. He then throws a ball vertically downwards at $2\text{m/s}$. If the platform is $72\text{m}$ above ground, the speed with which the ball hits the ground in $\left(\text{m/s}\right)$ is

1. $48\text{m/s}$
2. $38\text{m/s}$
3. $40\text{m/s}$
4. $34\text{m/s}$

Q. ntn ntQ. A particle is projected from ground at an angle with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height isn nt1) 1/ sin2 cos n nt2) cos2 n nt3) 1/ sin3 n nt4) 1/ cos3 n

Q.

An aeroplane moving with 150 m/s drops a bomb from a height of 80 m so as to hit a target. What is the distance between the target and the point where the bomb is dropped? (given $g=10m/s^2$)

1. 605.3 m

2. 600 m

3. 80 m

4. 230 m

Q. Two particles are projected from the top of a tower with velocities $10\text{m/s}$ and $80\text{m/s}$ in horizontal but in opposite directions. After what time $t$ their velocity vectors will be mutually perpendicular to each other? (Take $g=10{\text{m/s}}^2$)

1. $2\sqrt{2}\text{sec}$
2. $2\text{sec}$
3. $8\text{sec}$
4. $4\text{sec}$

Q. A body is thrown with a velocity of $20{\text{ms}}^{-1}$ from a building of height $15\text{m}$. If the angle of projection is ${30}^{\circ }$above the horizontal find the time of flight
(Take $g=10m/s^2$)

1. $1\text{s}$
2. $3\text{s}$
3. $5\text{s}$
4. $7\text{s}$