MEDIUM
JEE Main/Advance
IMPORTANT
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A particle moves along the parabolic path y=ax2 in such a way that the x component of the velocity remains constant, say c. The acceleration of the particle is

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Important Questions on Kinematics

EASY
JEE Main/Advance
IMPORTANT
During projectile motion, the acceleration of a particle at the highest point of its trajectory is (here g denotes acceleration due to gravity)
MEDIUM
JEE Main/Advance
IMPORTANT
The speed at the maximum height of a projectile is half of its initial speed u. Its range on the horizontal plane is:
EASY
JEE Main/Advance
IMPORTANT

The velocity of projection of a projectile is 6i^+8j m s-1. The horizontal range of the projectile is g=10 m sec-2

HARD
JEE Main/Advance
IMPORTANT
One stone is projected horizontally from a 20 m high cliff with an initial speed of 10 m s-1. A second stone is simultaneously dropped from that cliff. Which of the following is true?
HARD
JEE Main/Advance
IMPORTANT

 An object is thrown horizontally from a point A from a tower and hits the ground 3 s later at B. The line from A to B makes an angle of 30° with the horizontal. The initial velocity of the object is: (take g=10 m s-2

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MEDIUM
JEE Main/Advance
IMPORTANT

A body is projected horizontally from the top of a tower with an initial velocity 18 m s-1. It hits the ground at angle 45°. What is the vertical component of velocity when it strikes the ground?

HARD
JEE Main/Advance
IMPORTANT

A bomber plane moving at a horizontal speed of 20 m s-1 releases a bomb at a height of 80 m above ground as shown. At the same instant, a hunter of negligible height starts running from a point below it, to catch the bomb with speed 10 m s-1. After two seconds he realised that he cannot make it, he stops running and immediately holds his gun and fires in such a direction, so that just before the bomb hits the ground, a bullet will hit it. What should be the firing speed of bullet. (Take g=10 m s-2 )

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MEDIUM
JEE Main/Advance
IMPORTANT

A ball is projected from a certain point on the surface of a planet at a certain angle with a horizontal surface. The horizontal and vertical displacement x and y vary with time t in second as:

x=103t  and y=10t-t2

The maximum height attained by the ball is: