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Two trains A and B, which are 100 km apart, are travelling towards each other on different tracks with each having an initial speed of 50 km h-1. The train A accelerates at 20 km h-2 and the train B retards at the rate of 20 km h-2. The distance covered by train A when they cross each other is

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Important Questions on Kinematics

EASY
JEE Main/Advance
IMPORTANT
A jet airplane traveling from east to west at a speed of 500 km h-1 ejects outgases of combustion at a speed of 1500 km h-1 with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground?
EASY
JEE Main/Advance
IMPORTANT
A helicopter is flying south with a speed of 50 km h-1. A train is moving at the same speed towards the east. The relative velocity of the helicopter as seen by the passengers in the train will be towards
MEDIUM
JEE Main/Advance
IMPORTANT
Two particles are moving with velocities v1 and v2. Their relative velocity is maximum when the angle between their velocities is
MEDIUM
JEE Main/Advance
IMPORTANT
A ship is traveling due east at 10 km h-1. A ship heading 30° east of north is always due north from the first ship. The speed of the second ship in km h-1 is
MEDIUM
JEE Main/Advance
IMPORTANT
A boat, which has a speed of 5 km h-1 in still water, crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km h-1 is
MEDIUM
JEE Main/Advance
IMPORTANT
A boat is rowed across a river (perpendicular to the river flow) at the rate of 9 km hr-1. The river flows at the rate of 12 km hr-1. The velocity of the boat in km hr-1 is
HARD
JEE Main/Advance
IMPORTANT
A boat that can move with a speed of 5 m s-1 relative to the water crosses a river of width 480 m flowing with a constant speed of 4 m s-1. What is the time taken by the boat to cross the river along the shortest path?
HARD
JEE Main/Advance
IMPORTANT
An airplane pilot sets a compass course due west and maintains an airspeed of 240 km h-1. After flying for 12 h, he finds himself over a town that is 150 km west and 40 km south of his starting point. The wind velocity (with respect to ground) is