# Projectile from a Height

## Trending Questions

**Q.**

A stone is thrown in a vertically upward direction with a velocity of $5m{s}^{-1}$. If the acceleration of the stone during its motion is $10m{s}^{-2}$ in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

**Q.**

An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is

1200 m

0.33 km

3.33 km

33 km

**Q.**A body falls from a height 'h' on a horizontal surface and rebounds. Then it falls again and rebounds and so on. If the coefficient of restitution is 12, then the total distance travelled by the ball before coming to rest is (neglect air resistance)

- 2h3
- 3h2
- 5h2
- 5h3

**Q.**A body is projected horizontally from the top of a tower with an initial velocity of 18 ms−1. It hits the ground at an angle of 45∘ with horizontal. What is the vertical component of velocity when the body strikes the ground?

- 9 m/s
- 9√2 m/s
- 18 m/s
- 18√2 m/s

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

- 30∘
- 45∘
- 60∘
- 75∘

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

- particle B will reach at ground first with respect to particle A
- both particles will reach at ground simultaneously.
- both particles will reach at ground with same speed.
- particle A will reach at ground first with respect to particle B.

**Q.**

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

One after the other

Simultaneously

Depends on the observer

None of the above

**Q.**A boat is moving towards east with velocity 4 m/s with respect to river flowing towards north with velocity 2 m/s and the wind is blowing towards north with velocity 6 m/s. The direction of the flag blown over by the wind hoisted on the boat is

- North-west
- South-east
- tan−112 with east

- North

**Q.**A marble with speed 20 cm/s rolls off the edge of a table 80 cm high. How far horizontally from the table edge does the marble strike the floor? (answer in cm and take g=10 m/s2)

**Q.**From the top of a 11 m high tower a stone is projected with speed 10 m/s, at an angle of 37∘ as shown in the figure. (Take g=10 m/s2)

Match the quantities in column-I to their values in column-II

Column-I | Column-II |

(i) Speed after 2 s | p. 8√5 |

(ii)Time of flight | q. 12.8 |

(iii)Range | r. 115 |

(iv) The maximum height attained by the stone | s. 885 |

(v) Speed just before striking the ground. | t. √260 |

- (i) - p, (ii) - t, (iii) - s, (iv) - q, (v) - r
- (i) - t, (ii) - r, (iii) - s, (iv) - q, (v) - p
- (i) - p, (ii) - r, (iii) - s, (iv) - q, (v) - t
- (i) - r, (ii) - s, (iii) - p, (iv) - q, (v) - t

**Q.**A marble is to be thrown horizontally from a height of 19.6 cm above the ground so that it hits another marble on the ground 2 m away. The velocity with which the marble should be thrown is

- 5 ms−1
- 10 ms−1
- 5 ms−1
- 20 ms−1

**Q.**

A projectile is fired horizontally with a speed of 98 ms−1 from the top of a hill 490 m high. Find

(i) The time taken to reach the ground

(ii)The distance of the target from the hill and

(iii)The velocity with which the projectile hits the ground. (take g=9.8 m/s2)

- (i) 5 s, (ii) 490 m, (iii) 110 m/s
- (i) 10 s, (ii) 980 m, (iii) 98√2 m/s
- (i) 15 s, (ii) 1470 m, (iii) 110 m/s
- (i) 5 s, (ii) 980 m, (iii) 98 m/s

**Q.**A ball rolls off the top of a stairway horizontally with a velocity of 4.5 ms−1. Each step is 0.2 m high and 0.3 m wide. If g is 10 ms−2, then the ball will strike the nth step where n is equal to

- 3
- 9
- 2
- 4

**Q.**A ball is projected horizontally with a speed v from the top of a plane inclined at an angle 45∘ with the horizontal. How far from the point of projection will the ball strike the plane?

- v2g
- √2v2g
- 2v2g
- √2[2v2g]

**Q.**

A particle is projected vertically upwards with a velocity of 20 m/sec. Find the time at which the distance travelled is twice the displacement

2+√43sec

1 sec

3 sec

2+√34

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

- Distance =3494 m, Velocity =√106 m/s
- Distance =√3492 m, Velocity =√106 m/s
- Distance =√3494 m, Velocity =106 m/s
- Distance =√3494 m, Velocity =√106 m/s

**Q.**A bomb is dropped on an enemy post by an aeroplane flying horizontally with a velocity of 60 kmh−1 and at a height of 490 m. At the time of dropping the bomb, how far the aeroplane should be from the enemy post so that the bomb may directly hit the target?

- 4003 m
- 498 m
- 5003 m
- 17003 m

**Q.**A projectile is thrown horizontally with a speed of 20 m s−1. If g is 10 ms−2, then the speed of the projectile after 5 seconds will be nearly

- 0.5 ms−1
- 54 ms−1
- 5 ms−1
- 500 ms−1

**Q.**Two bullets are fired horizontally with different velocities from the same height. Which one will reach the ground first?

- Slower one
- Faster one
- Both will reach simultaneously
- It cannot be predicted

**Q.**A helicopter is flying horizontally at an altitude of 2 km with a speed of 100 ms−1. A packet is dropped from it. The horizontal distance between the point where the packet is dropped and the point where it hits the ground is (g=10 ms−2)

- 2 km
- 0.2 km
- 20 km
- 4 km

**Q.**A bomb is dropped from an aeroplane flying horizontally with a velocity 469 ms−1 at an altitude of 980 m. The bomb will hit the ground after a time (g=9.8 m/s2)

- 2 s
- 10√2 s
- √2 s
- 5√2 s

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

- 2 sec
- 4 sec
- 1 sec
- zero

**Q.**A boy standing on a building of height 20 m throws a stone with a velocity of 15 ms−1. What should be the angle of projection so that the stone has a range of 30 m ?

(Take g=10 m/s2)

- tan−132
- tan−134
- 30∘
- 45∘

**Q.**A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m/s at an angle of 30∘ with the horizontal. The time taken by the ball to cross the point which is at the height of 10 m from the ground is

- 1 s
- 3 s
- 4 s
- 2 s

**Q.**A ball was thrown from height H and the ball hits the floor with velocity 10(^i−^j) m/s, 1.5 sec after its projection. Find initial speed of ball.

- 10√5 m/s
- 5√5 m/s
- 15 m/s
- 30 m/s

**Q.**As shown in the figure, a projectile is fired with a horizontal velocity of 330 m/s from the top of a cliff 80 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=10 m/s2)

- (a) 16 s (b) 5280 m (c) 366.7 m/s
- (a) 4 s (b) 1320 m (c) 330 m/s
- (a) 4 s (b) 1320 m (c) 332.4 m/s
- (a) 8 s (b) 2640 m (c) 332.4 m/s

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

- 660 m
- 1320 m
- 330 m
- 2640 m

**Q.**Two particles are projected from the top of a tower with velocities 10 m/s and 80 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 m/s2)

- 2√2 sec
- 2 sec
- 4 sec
- 8 sec

**Q.**

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

On a parabolic path as seen by pilot in the plane

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

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

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

**Q.**Two tall buildings are 40 m apart. With what speed a ball must be thrown horizontally from a window 145 m above the ground in one building, so that it will enter a window 22.5 m above the ground in the other ?

(Take g=10 m/s2)

- 5 ms−1
- 8 ms−1
- 10 ms−1
- 16 ms−1