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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

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Important Questions on Motion in a Plane

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
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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
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
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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.