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A stone is thrown vertically upwards with kinetic energy K. The kinetic energy at the highest point is

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Important Questions on Kinematics

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In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed v more than that of car B. Both the cars start from rest and travel with constant acceleration a1 and a2  respectively. Then v is equal to:
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A body moving with uniform acceleration 6 m/s2 starts from rest. The distance covered by it in 4th  second will be
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The velocity of a particle is v=v0+gt+Ft2 m s-1. Its position is x=0 at t=0 ; then its displacement after time (t=1 s) is :
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For a body moving along a straight line, the following v-t graph is obtained.

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According to the graph, the displacement during

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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
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A particle is thrown vertically up with a velocity of 100 m s-1. What will be the time taken by the body to reach the ground? Assume g=10 m s-2
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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 :
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A ball is projected vertically up with speed V0 from a certain height H. When the ball reaches the ground the speed is 3V0. The time taken by the ball to reach the ground and height H respectively are.(g=the acceleration due to gravity)
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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
 
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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
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A particle starts from origin at t=0 with a velocity of 15 i^ m·s-1 and moved in xy-plane with an acceleration of 15i^+20j^ m·s-2. The y-coordinate of the particle when it has 180 m as its x-coordinate is
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A particle starts from origin O from rest and moves with a uniform acceleration along the positive  x-axis . Identify all figures that correctly represent the motion qualitatively.
( a= acceleration, v= velocity, x=  dispalcement, t= time)
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B Question Image
(C) Question Image
(D) Question Image

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Which of the following decreases, in motion on a straight line, with constant retardation?
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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
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A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following a ________
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An object is moving with a uniform acceleration which is parallel to its instantaneous direction of motion. The displacement (s)- velocity (v) graph of this object is
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For a body projected vertically upwards with a velocity v0 from the ground. match the following?

Column-I Column-II
(a) vav (i)  v0 g
(b)  uav (Average speed) (ii)  v1+v22 over any time-interval
(c)  Tascent (iii) v02 over the total time of its flight
(d) Tdecent (iv) v0g

 

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A ball is dropped from a height of 19.6 m. The distance covered by it in the last second is
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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
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A body is thrown vertically upwards. Which one of the following graphs correctly represents the velocityv vs time t?