A particle is moving with veocity V=k(yi^+xj^); where k is constant. The general equation for path is:

1. y=x2+constant

2. y2=x2+constant

3. y=x+constant

4. xy=constant

 

Subtopic:  Speed & Velocity |
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A particle is projected with a velocity u making an angle θ with the horizontal. At any instant, its velocity v is at right angles to its initial velocity u; then v is:

1.  u cos θ

2.  u tan θ

3.  u cot θ

4.  u sec θ

Subtopic:  Projectile Motion |
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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 |
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A ship A is moving westwards with a speed of 10 km h-1 and a ship B, 100 km south of A is moving northwards with a speed of 10 km h-1. The time after which the distance between them becomes the shortest, is:

1. 5 hr

2. 52 hr

3. 102 hr

4. 0 hr

Subtopic:  Relative Motion |
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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 |
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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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Three particles moving with constant velocities V1, V2 and V respectively as given in the figure. After some time all three particles are in the same line, then 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 |
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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 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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