A particle projected with kinetic energy k0 with an angle of projection θ. Then the variation of kinetic K with vertical displacement y is

1.  linear

2.  parabolic

3.  hyperbolic

4.  periodic

Subtopic:  Projectile Motion |
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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 with respect to 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. \(\mathrm h \) 2. \(\frac{h}{2} \)
3. \(2\mathrm h \) 4. \( \frac{2 h}{3}\)
Subtopic:  Projectile Motion |
 72%
From NCERT
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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 |
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A body is projected with a velocity u with an angle of projection θ. Change in velocity after the time (t) from the time of projection will be:

1. gt 2. 1/2 gt2
3. u sinθ 4. u cosθ
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 |
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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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