A boat is sent across a river in perpendicular direction with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is : 

(1) 10 km/hr

(2) 8 km/hr

(3) 6 km/hr

(4) 4 km/hr

Subtopic:  Relative Motion |
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A boat is moving with velocity of 3i^+4j^ in river and water is moving with a velocity of 3i^4j^ with respect to ground. Relative velocity of boat with respect to water is: 

(1) 6i^8j^

(2) 6i^+8j^

(3) 8j^

(4) 6i^

Subtopic:  Relative Motion |
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A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip(returning to the initial point) is:

(1) 5 min

(2) 60 min

(3) 20 min

(4) 30 min

Subtopic:  Relative Motion |
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A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south. 

(1) 30° with downstream

(2) 60° with downstream

(3) 120° with downstream

(4) South

Subtopic:  Relative Motion |
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A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is 

(1) East-north direction

(2) West-north direction

(3) South-east direction

(4) None of these

Subtopic:  Relative Motion |
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An aeroplane is moving with a velocity u. It drops a packet from a height h. The time t taken by the packet in reaching the ground will be

(1) 2gh

(2) 2ug

(3) h2g

(4) 2hg 

Subtopic:  Projectile Motion |
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If the body is moving in a circle of radius r with a constant speed v, its angular velocity is 

(1) v2/r

(2) vr

(3) v/r

(4) r/v

Subtopic:  Circular Motion |
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Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is 

(1) m1 : m2

(2) r1 : r2

(3) 1 : 1

(4) m1 r1 : m2 r2

Subtopic:  Circular Motion |
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If a particle moves in a circle describing equal angles in equal times, its velocity vector 

(1) Remains constant

(2) Changes in magnitude

(3) Changes in direction

(4) Changes both in magnitude and direction

Subtopic:  Circular Motion |
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A motor cyclist going round in a circular track at constant speed has 

(1) Constant linear velocity

(2) Constant acceleration

(3) Constant angular velocity

(4) Constant force

Subtopic:  Circular Motion |
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