Two men \(P\) & \(Q\) are standing at corners \(A\) & \(B\) of square \(ABCD\) of side \(8\) m. They start moving along the track with constant speed \(2\) m/s and \(10\) m/s respectively. The time when they will meet for the first time, is equal to:
     
1. \(2\) sec
2. \(3\) sec
3. \(1\) sec
4. \(6\) sec

Subtopic:  Relative Motion |
 56%
From NCERT
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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 |
From NCERT
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A body is projected with a velocity \(u\) with an angle of projection \(\theta\). Change in velocity after the time \((t)\) from the time of projection will be:

1. \(gt\) 2. \(\frac{1}{2}gt^2\)
3. \(u\sin\theta\) 4. \(u\cos\theta\)
Subtopic:  Projectile Motion |
 52%
From NCERT
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What determines the nature of the path followed by the particle?

(1) Speed only

(2) Velocity only

(3) Acceleration only

(4) None of these

Subtopic:  Projectile Motion |
From NCERT
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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 |
 85%
From NCERT
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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 |
 82%
From NCERT
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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 |
 54%
From NCERT
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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 |
 54%
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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 |
 60%
From NCERT
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A ball P is dropped vertically and another ball Q is thrown horizontally from the  same height and at the same time. If air resistance is neglected, then 

(1) Ball P reaches the ground first

(2) Ball Q reaches the ground first

(3) Both reach the ground at the same time

(4) The respective masses of the two balls will decide the time

Subtopic:  Projectile Motion |
 81%
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