A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr, at an angle θ w.r.t. the river. If AB=BC=400m. Then-

(1) time taken by the man is 12 min

(2) time taken by the man is 8 min

(3) the value of θ is 45°

(4) the value of θ is 53°

Subtopic:  Relative Motion |
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 A body is thrown horizontally with a velocity 2gh from the top of a tower of height h. It strikes the level ground through the foot of the tower at a distance x from the tower. The value of x is:

(1) h

(2) h2

(3) 2h

(4) 2h3

Subtopic:  Projectile Motion |
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A particle starts from the origin at t=0 and moves in the x-y plane with constant acceleration 'a' in the y direction. Its equation of motion is y=bx2. The x component of its velocity (at t=0) is:

(1) variable

(2) 2ab

(3) a2b

(4) a2b

Subtopic:  Acceleration |
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A body projected with velocity u with an angle of projection θ. Change in velocity after the time (t) from the projection is:

(1) gt

(2) 12gt2

(3) u sinθ

(4) u cosθ

Subtopic:  Projectile Motion |
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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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