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IMPORTANT
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A stone is dropped into a well in which the level of water is h below the top of the well. If v is the velocity of sound, the time T after dropping the stone at which the splash is heard is given by,

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Important Questions on Kinematics

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JEE Main/Advance
IMPORTANT
A student determined to test the law of gravity for himself walks off a skyscraper 320 m high with a stopwatch in hand and starts his free fall (zero initial velocity). 5 s later, superman arrives at the scene and dives off the roof to save the student. What must be superman's initial velocity in order that he catches the student just before reaching the ground? [Assume that the superman's acceleration is that of any freely falling body.] g=10 m s-2
MEDIUM
JEE Main/Advance
IMPORTANT
A student determined to test the law of gravity for himself walks off a skyscraper 320 m high with a stopwatch in hand and starts his free fall (zero initial velocity). 5 seconds later, superman arrives at the scene and dives off the roof to save the student. [Assume that the superman's acceleration is that of any freely falling body g=10 m s-2, what must be the maximum height of the skyscraper so that even superman cannot save him. 
EASY
JEE Main/Advance
IMPORTANT
Two particles held at different heights a and b above the ground are allowed to fall from rest. The ratio of their velocities on reaching the ground is,
EASY
JEE Main/Advance
IMPORTANT

In the displacement-time graph of a moving particle shown, the instantaneous velocity of the particle is negative at the point is,

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JEE Main/Advance
IMPORTANT

The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4 s is,

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EASY
JEE Main/Advance
IMPORTANT
A particle starts from rest and moves along a straight line with constant acceleration. The variation of velocity v with displacement S is:
EASY
JEE Main/Advance
IMPORTANT

The displacement-time graphs of two particles A and B are straight lines making angles of respectively 30° and 60° with the time axis. If the velocity of A is vA and that of B is vB, then the value of vAvB is?

EASY
JEE Main/Advance
IMPORTANT

Starting from rest at t=0, a car moves in a straight line with an acceleration given by the accompanying graph. The speed of the car at t=3 s is,

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