MEDIUM
11th West Bengal Board
IMPORTANT
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A boat is moving with a velocity of 3i^+4j^ w.r.t ground. The water in the river is moving with a velocity of -3i^-4j w.r.t. ground. The relative velocity of the boat w.r.t water is:

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Important Questions on Motion of a Particle

HARD
11th West Bengal Board
IMPORTANT
A train of 150 m length is going towards north direction at a speed of 10 ms-1. A parrot flies at a speed of 5 ms-1 towards south direction parallel to the railway track.The time taken by the parrot to cross the train is equal to
HARD
11th West Bengal Board
IMPORTANT
A boat covers a given distance in 6 hour moving downstream of a river. It covers the same distance in 10 hours moving upstream. What time would it take to cover the same distance in still water ?
HARD
11th West Bengal Board
IMPORTANT
A river is flowing from west to east at a speed of 5 metre per minute. A man on the south bank of the river, capable of swimming at 10 metre per minute in still water, wants to swim accross the river in the shortest time. He should swim in a direction
HARD
11th West Bengal Board
IMPORTANT
A police car is travelling in a straight line with a constant speed v. A truck travelling in the same direction with constant velocity 3v2 passes the police car at t=0. The police car starts accelerating 10 s after passing the truck, at a constant rate of 3 m/s2, while the truck continues to move at constant speed. If the police car takes 10 s further to catch the truck, find the value of v.
MEDIUM
11th West Bengal Board
IMPORTANT
A bus begins to move with an acceleration of 1 ms-2. A man who is 48 m behind the bus runs at 10 ms-1 to catch the bus. The man will be able to catch the bus after:  
EASY
11th West Bengal Board
IMPORTANT
Two cars A and B are travelling in the same direction with velocities v1 and v2v1>v2. When the car A is at a distance d behind the car B, the driver of the car A applies the break producing uniform retardation a. There will be no collision when.
MEDIUM
11th West Bengal Board
IMPORTANT
Two boys are standing at the ends A and B of a ground where AB=a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other boy at time t, when t is:
HARD
11th West Bengal Board
IMPORTANT

Two particles are projected with the same initial velocity, one making an angle θ with the horizontal and the other making an angle θ with the vertical. If their common range is R, then product of time of flight is directly proportional to: