Horizontal Projectile & Inclined Plane

A helicopter flying horizontally with a speed of 360 km/h at an altitude of 2 km, drops an object at an instant. The object hits the ground at a point O, 20 s after it is dropped. Displacement of 'O' from the position of helicopter where the object was released is:

(use acceleration due to gravity g = 10 m/s2 and neglect air resistance)

A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a distance of $100\text{ m}$ from the foot of the tower. A body of mass $2M$ thrown at a velocity $\frac{v}{2}$ from the top of the tower of height $4H$ will touch the ground at a distance of _______ m.

A ball rolls off the top of a stairway with horizontal velocity $u$. The steps are $0.1\text{ m}$ high and $0.1\text{ m}$ wide. The minimum velocity $u$ with which that ball just hits the step 5 of the stairway will be $\sqrt{x}\text{ m s}^{-1}$ where $x =$ __________ [use $g = 10\text{ m/s}^{2}$ ].

A child stands on the edge of the cliff $10\text{ m}$ above the ground and throws a stone horizontally with an initial speed of $5\text{ m s}^{-1}$. Neglecting the air resistance, the speed with which the stone hits the ground will be ________ $\text{m s}^{-1}$ (given, $g = 10\text{ m s}^{-2}$ ).

At t = 0, truck, starting from rest, moves in the positive x-direction at uniform acceleration of 5 ms${}^{-2}$. At t = 20 s, a ball is released from the top of the truck. The ball strikes the ground in 1 s after the release. The velocity of the ball, when it strikes the ground, will be:

(Given g = 10 ms${}^{-2}$)

A bomb is dropped by an aeroplane flying horizontally with a velocity $200\text{ km/hr}$ and at a height of $980\text{ m}$. At the time of dropping a bomb, the distance of the aeroplane from the target on the ground to hit directly is $\left(g = 9.8\text{ m/s}^{2}\right)$

A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped?

A car starts from rest and accelerates at 5m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s? (Take g = 10 m/s2)

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200 m, with the same velocity of 25 m/s. When and where will the two bullets collide? ($g = 10\text{ m/s}^{2}$)

A plane is inclined at an angle $\alpha$ = 30° with respect to the horizontal. A particle is projected with a speed u = 2 ms–1, from the base of the plane, making an angle $\theta$ = 15° with respect to the plane as shown in the figure. The distance from the base, at which the particle hits the plane is close to: (Take g = 10 ms–2)

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

A solid sphere and a hollow sphere are thrown horizontally from a cliff with equal velocities, respectively. Then which sphere reaches first on earth?