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Two observers A and B are moving opposite to each other on a parallel track, separated by a distance d, with the same speed. When they are at the shortest distance, a particle is thrown horizontally from some height from the ground by A towards B with respect to itself. The path of the particle observed by B is -

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Important Questions on Kinematics

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A cyclist observes a passenger in a bus. He finds that the passenger closed his glass window displacing 20 cm in forward direction with constant speed in 1 sec. Bus overtakes the cyclist in 3 sec. Initially he was at the middle of the bus as shown in the figure. Length of the bus is 18 m. Both cyclist and bus are moving with constant speed in the same direction. Then the velocity of the glass window with respect to cyclist was:

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A boat moving towards east with velocity 4 m s-1 with respect to still water, and the river is flowing towards north with velocity 2 m s-1, and the wind is blowing towards north with velocity 6 m s-1. The direction of the flag blown over by the wind hoisted on the boat is
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Man A is sitting in a car moving with a speed of 54 km h-1 observed a man B in front of the car crossing perpendicularly a road of width 15 m in three seconds. Then what will be the velocity of man B? (in m s-1)
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A river is flowing with a velocity of 1 m sec-1 toward east direction. When the boat runs with a velocity of 3 m s-1 relative to the river in the direction of the river flow, the flag on the boat flutter in the north direction. If the boat runs with the same speed but in the north direction relative to the river, the flag flutters towards the northeast direction. The actual velocity of the wind (relative to the ground) should be: ( i^= east direction and j^= north direction)
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Hail stones falling vertically with a speed of 123 m/s hits the windscreen which makes an angle 30° with the horizontal. If car is running at velocity V (in m/s) so that the driver find the hail stone striking perpendicular to the windscreen. Find the value of V/2?
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A man is on the ship which is moving in the east direction with speed 60 km hr-1. Waves of the ocean is taking ship towards the west with speed 20 km hr-1. Man start running on the ship with the flag in his hand in north direction with speed 30 km hr-1 and wind is blowing with 50 km hr-1, 37° towards south of west then find the direction of a flutter the flag as seen by the man on the ground.
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Three particles A, B and C are initially at points -32, 3 , 0, 32, 3, 0 and 0, 3, 332 respectively. They start their motion at t=0 with same constant speed 2 m s-1. Particle A always heads towards particle B, particle B heads towards particle C and particle C heads towards particle A. At what time will the particles meet each other.
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Two balls are projected from points A and B in a vertical plane as shown in the figure. AB is a straight vertical line. The balls will collide in mid-air if V1V2 is equal to:

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