A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 sec his displacement relative to the ground will be

1. 5  m

2. 4.8 m

3. 3.2 m

4. 3.0 m

Subtopic:  Relative Motion |
 52%
From NCERT
PMT - 2002
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A particle is projected at an angle θ with horizontal with an initital speed u. When it makes an angle α with horizontal, its speed v is-

1. ucosθ

2. ucosθ ucosα

3. usinθsinα

4. ucosθcosα

 

Subtopic:  Projectile Motion |
From NCERT
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A particle is moving along the path y = x2 from x = 0 m to x = 2 m. Then the distance traveled by the particle is:

1.  4 m

2.  20 m

3.  >20 m

4.  <20 m

Subtopic:  Position & Displacement |
From NCERT
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In a uniform circular motion, which of the following quantity is not constant

1. Angular momentum

2. Speed

3. Kinetic energy

4. Momentum

Subtopic:  Circular Motion |
 53%
From NCERT
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A particle is moving with veocity v=k(yi^+xj^); where k is constant. The general equation for the 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 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 |
 58%
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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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 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%
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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