EASY
Earn 100

Water is dripping from a tap at height h from the ground at regular interval t1. The drops reach the ground at interval t2. Then t2 is equal to

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Important Questions on Measurements and Motion

MEDIUM
A tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height h/2. The velocity versus height of the ball during its motion may be represented graphically by: (graphs are drawn schematically and on not to scale)
EASY
A body is thrown vertically upwards. Which one of the following graphs correctly represents the velocityv vs time t?
MEDIUM
A ball is dropped from the top of a 100 m high tower on a planet. In the last 12s before hitting the ground, it covers a distance of 19 m. Acceleration due to gravity (in m s-2 ) near the surface on that planet is______
EASY
A body is projected vertically upwards with a velocity 'u' from the top of a tower. Time taken by it to reach the ground is 'n' times the time taken by it to reach the highest point in its path. Height of the tower is
MEDIUM
Imagine you have come back from the International Space Station. Share experience with your friends what you have observed there.
EASY
A person sitting in the ground floor of a building notices through the window, of height 1.5 m, a ball dropped from the roof of the building crosses the window in 0.1 s. What is the velocity of the ball when it is at the topmost point of the window? g=10 m s-2
HARD
From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path.The relation between H, u and n is :
EASY
Water-drops are falling at regular intervals from a water tap situated at a height of 5 meters from the ground. Just at the moment, the first drop touches the ground, the third drop comes out. At that moment, the height of the second drop of water from the ground will be
MEDIUM
A body is dropped from rest. Its velocity varies with displacement covered as: 
MEDIUM
Two identical objects A and B each of mass m start moving along the same vertical line in opposite directions at the same instant. Object A is dropped from rest from a height H above the ground and object B is projected vertically upward from the ground with speed u=2gH. After they collide, they stick to each other. What is the loss in their total energy?
EASY
A box filled with water has a small hole on its side near the bottom. It is dropped from the top of a tower. As it falls, a camera attached on the side of the box records the shape of the water stream coming out of the hole. The resulting video will show
 
MEDIUM
Find the ratio of the distance travelled by a freely falling body during the first and third second of its fall.
EASY
When a ball is thrown up vertically with a velocity v0 it reaches a height h. If one wishes to triple the maximum height, then the ball should be thrown with a velocity of
MEDIUM
A ball is thrown vertically downward with a velocity of 20 m s-1 from the top of a tower. It hits the ground after some time with a velocity of 80 m s-1. The height of the tower is: g=10 m s-2
EASY
A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :
HARD

A ball of mass m is thrown upward with a velocity v. The air exerts an average resisting force F. The velocity with which the ball returns to the thrower is

HARD
Two uniformly dense spherical balls of radius R and 2R are released simultaneously from identical heights. If both the balls hit the ground at the same time, then the ratio of densities of the balls, ρR:ρ2R is (here, ρRis the density of the ball with radius R and ρ2R is the density of the ball with radius 2R)
MEDIUM
Two identical objects A and B each of mass m start moving along the same vertical line in opposite directions at the same instant. Object A is dropped from rest from a height H above the ground and object B is projected vertically upward from the ground with speed u=2gH. At what height above the ground do they collide?
MEDIUM

A metal ball of mass 5 kg falls from a height of 490 m. How much time it will take to reach the ground? (g = 9.8 m/s2) 

HARD
If a ball is thrown at a velocity of 45 m s-1 in vertical upward direction, then what would be the velocity profile as function of height? (Assume, g=10 m s-2)