MEDIUM
JEE Main/Advance
IMPORTANT
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A body of mass m thrown horizontally with a velocity v from the top of the tower of height h touches the ground at a distance 250 m from the foot of tower. Another body of mass 2 m thrown horizontally with half the velocity from a tower of height 4h will touch the ground at a distance

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Important Questions on Motion in a Plane

MEDIUM
JEE Main/Advance
IMPORTANT
From the top of a tower of height 40 m a ball is projected upward with a speed of 20 ms-1 at an elevation of 30°. The ratio of the total time taken by the ball to hit the ground to its time to come back at the same level is g=10 ms-2
MEDIUM
JEE Main/Advance
IMPORTANT
A stair case contains three steps having height 10 cm each. If each are 20 cm wide then the minimum horizontal velocity of a ball moving off the upper mark plane so as to hit the lowest plane directly is
MEDIUM
JEE Main/Advance
IMPORTANT
A projectile is fired horizontally from an inclined plane (of inclination 45° with horizontal) with speed 50 m s1. If g=10 m s2, the range measured along the incline is
MEDIUM
JEE Main/Advance
IMPORTANT
A block of mass 5 kg and surface area 2 m2 just begins to slide down on an inclined plane, when the angle of inclination is 30°. Keeping the mass same, the surface area of the block is doubled. The angle at which it starts sliding down is
MEDIUM
JEE Main/Advance
IMPORTANT

If time taken by the projectile to reach B is T, then AB is equal to

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MEDIUM
JEE Main/Advance
IMPORTANT

The small marble is projected with a velocity of 10 m s-1 in a direction 45° from the horizontal y-direction on the smooth inclined plane. Calculate the magnitude v of its velocity after 2 s.

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HARD
JEE Main/Advance
IMPORTANT
Three ships A, B & C are in motion. The motion of A as seen by B is with speed v towards north - east. The motion of B as seen by C is with speed v towards the north - west. Then as seen by A, C will be moving towards
HARD
JEE Main/Advance
IMPORTANT
Men are running in a line along a road with velocity 9 km hr1 behind one another at equal distances of 20 m. Cyclists are also riding along the same line in the same direction at 18 km hr1 at equal intervals of 30 m. The speed with which an observer must travel along the road in opposite direction of so that whenever he meets a runner he also meets a cyclist is