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IMPORTANT
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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

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Important Questions on Kinematics

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JEE Main/Advance
IMPORTANT
It is raining vertically downwards with a velocity of 3 km h-1. A man walks in the rain with a velocity of 4 km h-1. The raindrops will fall on the man with a relative velocity of
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JEE Main/Advance
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A man walks in rain with a velocity of 5 km h-1. The raindrops strike at him at an angle of 45° with the horizontal. What is the velocity of the rain if it is falling vertically downward?
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JEE Main/Advance
IMPORTANT
Raindrops are falling vertically with a velocity of 10 m s-1. To a cyclist moving on a straight road the raindrops appear to be coming with a velocity of 20 m s-1. The velocity of cyclists is
HARD
JEE Main/Advance
IMPORTANT

An airplane has to go along a straight line from A to B, and back again. The relative speed of the airplane with respect to the wind is V. The wind blows perpendicular to the line AB with speed v. The distance between A and B is . The total time for the round trip is

MEDIUM
JEE Main/Advance
IMPORTANT
For two particles A and B, it is given that, rA=2i^+3j^rB=6i^+7j^vA=3i^-j^ and vB=xi^-5j^. What is the value of x, if, they collide?
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JEE Main/Advance
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Two particles A and B move with velocities v1 and v2, respectively, along with the x and y axis. The initial separation between them is d, as shown in the figure. Find the least distance between them during their motion.

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EASY
JEE Main/Advance
IMPORTANT
Two cars are moving in the same direction with a speed of 30 km h-1. They are separated from each other by 5 km. A third car is moving in the opposite direction and meets the two cars after an interval of 4 minutes. What is the speed of the third car?
EASY
JEE Main/Advance
IMPORTANT
A bus is moving with a velocity of 10 m s-1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If, the bus is at a distance of 1 km from the scooterist, with what velocity should the scooterist chase the bus? (Neglect the size of the bus)