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JEE Main/Advance
IMPORTANT
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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

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Important Questions on Motion in a Plane

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
HARD
JEE Main/Advance
IMPORTANT
A man holding a flag is running in North-East direction with speed 10 m s1. Wind is blowing in east direction with speed 52 m s1. Find the direction in which flag will flutter.
MEDIUM
JEE Main/Advance
IMPORTANT
A train 1 moves from east to west (clockwise) and another train 2 moves from west to east (anticlockwise) on the equator with equal speeds relative to ground. The ratio of their centripetal acceleration a1a2 relative to centre of earth is
HARD
JEE Main/Advance
IMPORTANT
What is the maximum magnitude of change in velocity of a motorcycle moving with a uniform speed v0 in a circular path of length I=π3R and radius R? Treat motorcycle as a particle.
MEDIUM
JEE Main/Advance
IMPORTANT
A particle is performing circular motion in a circle of radius R in such a way that at every moment magnitude of its tangential and radial acceleration is equal. If initial velocity of particle is v0 then time period of 1st revolution is
EASY
JEE Main/Advance
IMPORTANT
A boy standing in a trolley car projects a stone perpendicular to the trolley car with a speed v. If the trolley car moves with a constant velocity u, the time of flight of the stone is nvg. The value of n is _____.
HARD
JEE Main/Advance
IMPORTANT
Rain is falling vertically with a speed of 4 m s1. After some time, wind starts blowing with a speed of 3 m s1 in the north to south direction. In order to protect himself from rain, a man standing on the ground should hold his umbrella at an angle θ given by θ=tan-1mn with vertical towards north. If m, n are coprime then value of mn is _____.
EASY
JEE Main/Advance
IMPORTANT
A gun fitted on the top of a moving car is aimed in the backward direction at an angle 60° with the horizontal. If the muzzle velocity of the bullet fired from the gun is 8 m s1, then the speed of the car for which the bullet comes out vertically is n m s1. The value of n is _____.