EASY
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IMPORTANT
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Two projectile thrown at and with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is
(a)
(b)
(c)
(d)

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Important Questions on Kinematics
MEDIUM
JEE Main
IMPORTANT
If the initial velocity in horizontal direction of a projectile is unit vector and the equation of trajectory is . The component vector of the initial velocity is _____
(Take )

EASY
JEE Main
IMPORTANT
Two projectiles are thrown with same initial velocity making an angle of and with the horizontal respectively. The ratio of their respective ranges will be

MEDIUM
JEE Main
IMPORTANT
If and . The magnitude of component of vector along vector will be _____ .

EASY
JEE Main
IMPORTANT
A bullet is shot vertically downwards with an initial velocity of from a certain height. Within , the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time will be : (Take )

MEDIUM
JEE Main
IMPORTANT
A ball of mass is thrown vertically upward. Another ball of mass is thrown an angle with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is . The value of is _____ .

HARD
JEE Main
IMPORTANT
A body of mass is projected at an angle of with the horizontal. The trajectory of the body is observed to pass through a point . If is the time of flight, then its momentum vector, at time , is _____ .
[Take ]

MEDIUM
JEE Main
IMPORTANT
The velocity of the bullet becomes one third after it penetrates in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at inside the block. The value of is

EASY
JEE Main
IMPORTANT
A NCC parade is going at a uniform speed of under a mango tree on which a monkey is sitting at a height of . At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is :
(Given )
