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%
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A particle has initial velocity 3i^+4j^ and has acceleration 0.4i^+0.3j^. Its speed after 10 s:

1. 7 units

2. 72 units

3. 8.5 units

4. 10 units

Subtopic:  Uniformly Accelerated Motion |
 78%
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The gravity in space is given by g=-10 j^ ms-2. Two particles are simultaneously projected with velocity u1=10 ms-1i^+10 ms-1j^ and u2=20 ms-1i^+10 ms-1j^. Then, the ratio of their times of flight

1. 1:1

2. 1:2

3. 2:1

4. none

Subtopic:  Projectile Motion |
 65%
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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%
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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%
From NCERT
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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%
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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 |
 80%
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A frictionless wire AB is fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by this ball to slip from A to B is:
          

1. 2gRgcosθ

2. 2gR.cosθg

3. 2Rg 

4. gRgcosθ

Subtopic:  Uniformly Accelerated Motion |
 53%
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A body is slipping from an inclined plane of height h and length l. If the angle of inclination is θ, the time taken by the body to come from the top to the bottom of this inclined plane is:

1. 2hg

2. 2lg

3. 1sinθ2hg 

4. sinθ2hg

Subtopic:  Uniformly Accelerated Motion |
 59%
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