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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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Important Questions on Kinematics

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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?
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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)
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JEE Main/Advance
IMPORTANT
A police van moving on a highway with a speed of 30 km h-1 fires a bullet at a thief's car speeding away in the same direction with a speed of 192 km h-1. If the muzzle speed of the bullet is 150 m s-1, with what speed does the bullet hit the thief's car (as seen by the thief) according to the thief in the car?
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JEE Main/Advance
IMPORTANT
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JEE Main/Advance
IMPORTANT
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JEE Main/Advance
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Two persons P and Q, start from points A and B, respectively, as shown in the figure. P and Q have speed v=12 m s-1, towards point O. When the distance between P and Q is 120 m, then Q increases its speed to 15 m s-1. Then, find out who will reach point O first.

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JEE Main/Advance
IMPORTANT
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