A particle is projected at an angle θ with horizontal with an initial speed u. When it makes an angle α with horizontal, its speed is:

1. ucosθ

2. ucosθ×ucosα

3. usinθsinα

4. ucosθcosα

 

Subtopic:  Projectile Motion |
 63%
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A particle is moving with velocity v=k(yi^+xj^) where k is a constant. The general equation for the path will be:

1. y = x2 + constant 2. y2 = x2 + constant
3. y = x + constant 4. xy=constant
Subtopic:  Speed & Velocity |
 54%
From NCERT
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A body is thrown vertically so as to reach its maximum height in t second. The total time from the time of projection to reach a point at half of its maximum height while returning (in second) is:

1. 2t

2. 1+12t

3. 3t2

4. t2

Subtopic:  Projectile Motion |
 68%
From NCERT
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A projectile is given an initial velocity of i^+2j^. The cartesian equation of its path is (g = 10 ms-2

1. y=2x-5x2

2. y=x-5x2

3. 4y=2x-5x2

4. y=2x-25x2

Subtopic:  Projectile Motion |
 61%
From NCERT
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Time taken by the projectile to reach from A to B is t. Then the distance AB is equal to :

1. ut3

2. 3ut2

3. 3ut

4. 2ut

Subtopic:  Projectile Motion |
From NCERT
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Three particles are moving with constant velocities v1, v2 and v respectively as given in the figure. After some time, if all the three particles are in the same line, then the relation among v1, v2 and v is:
                                    
1.  v= v1 + v2

2.  v= v1v2

3.  v=v1v2v1+v2

4.  v= 2v1v2v1+v2

Subtopic:  Speed & Velocity |
 53%
From NCERT
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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 |
 75%
From NCERT
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A particle starts from the origin at t=0 and moves in the x-y plane with a constant acceleration 'a' in the y direction. Its equation of motion is y=bx2. The x component of its velocity (at t=0) will be:

1. variable

2. 2ab

3. a2b

4. a2b

Subtopic:  Acceleration |
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 |
 88%
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. Width of the river is 1 km. The minimum time taken for a round trip will be

1. 5 min

2. 60 min

3. 20 min

4. 30 min

Subtopic:  Relative Motion |
 55%
From NCERT
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