Application of Projectile to a Height

Q.

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

1. 0.33 km

2. 3.33 km

3. 33 km

4. 1.2 km

Q.

A passenger in a train moving at an acceleration a', drops a stone from the window. A person, standing on the ground, by the sides of the rails, observes the ball following:

(a) Vertically with acceleration $\sqrt{g^2+a^2}$

(b) Horizontally with acceleration $\sqrt{g^2+a^2}$

(c) Along a parabola with acceleration $\sqrt{g^2+a^2}$

(d) Along a parabola with acceleration g

Q. Two balls A and B of same mass are thrown from the top of the building. A thrown upward with velocity v and B, thrown down with velocity v, then:- (1) velocity A is more than B at the ground (2) velocity of B is more than A at the ground (3) both A and B strike the ground with same velocity (4) none of the

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. There is a small ball A of mass m which is suspended vertically with the help of a light string of length l as shown in the figure. A bullet of same mass and moving with a horizontal speed u strikes the ball A and gettes embedded in it. The maximum angular deflection of the string from the vertical will

Q.

A bullet A is dropped from a certain height and at the same time another bullet B is fired horizontally from the same height. Which one will hit the ground first and why?

Q. A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be $(g=10m/s^2)$

1. $ta{n}^{-1}\left(\frac{1}{5}\right)$
2. $tan\left(\frac{1}{5}\right)$
3. $ta{n}^{-1}\left(1\right)$
4. $ta{n}^{-1}\left(5\right)$

Q. A ball is thrown with some speed u m/s.Show that under the free fall, it will fall on the ground with same speed.

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. 230 m

4. 80 m

Q. A particle is projected from the ground at an angle of $\theta$ with the horizontal with an initial speed of $u$. Find the final velocity when it is perpendicular to the initial velocity.

1. $u\tan \theta$
2. $u\cot \theta$
3. $u\sin \theta$
4. $u\cos \theta$

Q.

A man is standing on a rail car travelling with a constant speed of v = 10 m/s. He wishes to throw a ball through a stationary hoop 5 m above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 12.5 m/s w.r.t himself.

(a) What must be the vertical component of the initial velocity of the ball? ($v_{perp}$)

(b) How many seconds after he releases the ball will it pass through the hoop? ($T$)

(c) At what horizontal distance in front of the loop must he release the ball? ($s_x$)

1. 

2. 

3. 

4. 

Q. A batsman deflects a ball by an angle of ${90}^o$ without changing its initial speed, which is equal to $54km/hr$. What is the impulse imparted to the ball? (Mass of the ball is $0.15kg$).

Q. there is a small ball of A of mass m which is suspended vertically with the help of a light string of length l. A bullet of same mass and moving with horizontal speed u (u<=(6gl)^1/2 strikes the ball and gets embeded in it . the maximum angular deflection of the string from vertical will be?

Q. A uniform plate of mass M stays horizontally and symmetrically on two wheels rotating in opposite direction (figure 12−E16). The separation between the wheels is L. The friction coefficient between each wheel and the plate is μ. Find the time period of oscillation of the plate if it is slightly displaced along its length and released.

Figure

Q. determine the velocity of an object at the time of hitting the earth if the object is dropped from height H

Q.

At the height 80 m, an aeroplane is moving with 150 m/s. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped (given g = 10 $m/s^2$)

1. 605.3 m

2. 600 m

3. 80 m

4. 230 m

Q. A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be $(g=10m/s^2)$

1. $ta{n}^{-1}\left(\frac{1}{5}\right)$
2. $tan\left(\frac{1}{5}\right)$
3. $ta{n}^{-1}\left(1\right)$
4. $ta{n}^{-1}\left(5\right)$

Q. Assume that a tunnel is dug across the earth (radius = R) passing through its centre. Find the time a particle takes to cover the length of the tunnel if (a) it is projected into the tunnel with a speed of $\sqrt{g\mathrm{R}}$ (b) it is released from a height R above the tunnel (c) it is thrown vertically upward along the length of tunnel with a speed of$\sqrt{g\mathrm{R}}$.

Q.

An aeroplane flying 490 m above ground level at 100 m/s, releases a block. How far on ground will it strike

1. 0.1 km

2. 1 km

3. 2 km

4. None

Q. A ball of mass m is thrown from ground at an angleof 60^° with speed v. Its maximum height will be