Coordinates of a particle as a function of time t are x = 2t, y = 4t. It can be inferred that the path of the particle will be

1. Straight line

2. Ellipse

3. Parabola

4. Hyperbola

Subtopic:  Position & Displacement |
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When a man walks on a horizontal road with velocity 1 km/h, the rain appears to him coming vertically at a speed of 2 km/h. The actual speed of the rain with respect to ground is:

1. 3 km/h

2. 5 km/h

3. 1 km/h

4. 3 km/h

Subtopic:  Relative Motion |
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A body started moving with initial velocity 4 m/s along the east and acceleration 1 m/s2 along the north. The velocity of the body just after 4 s will be

1. 8 m/s along East

2. 42 m/s along North-East

3. 8 m/s along North

4. 42 m/s along South-East

Subtopic:  Uniformly Accelerated Motion |
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A particle is thrown obliquely at t = 0. The particle has the same K.E. at t = 5 seconds and at t = 9 seconds. The particle attains maximum altitude at:

1. t = 6 s

2. t = 7 s

3. t = 8 s

4. t = 14 s

Subtopic:  Projectile Motion |
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The position vector of a particle is r = a sin ωti^ - a cos ωtj^. The velocity of the particle is:

1. parallel to the position vector.

2. at 60° with position vector.

3. parallel to the acceleration vector.

4. perpendicular to the position vector.

Subtopic:  Circular Motion |
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A projectile is projected from the ground with the velocity v0 at an angle θ with the horizontal. What is the vertical component of the velocity of the projectile when its vertical displacement is equal to half of the maximum height attained?

1.  3v0 cosθ

2.  v02sin θ

3.  v02cosθ

4.  5v0

Subtopic:  Projectile Motion |
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A particle starts moving on a circular path from rest, such that its tangential acceleration varies with time as at = kt. Distance traveled by particle on the circular path in time t is

1. kt33

2.  kt26

3.  kt36

4. kt22

Subtopic:  Circular Motion |
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The speed of water in a river is 4 km/h and a man can swim at 5 km/h. The minimum time taken by the man to cross the river of width 200 m is:

1.  15 h

2.  125 h

3.  115 h

4.  120 h

Subtopic:  Relative Motion |
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A particle is moving on a circular path of radius R. When the particle moves from point A to B (angle θ), the ratio of the distance to that of the magnitude of the displacement will be

           

1. θsinθ2

2. θ2sinθ2

3. θ2cosθ2

4. θcosθ2

Subtopic:  Position & Displacement |
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Two particles move from A to C and A to D on a circle of radius R and diameter AB. If the time taken by both particles are the same, then the ratio of magnitudes of their average velocities is:
                                
1. 2

2.  23

3.  3

4.  32

Subtopic:  Speed & Velocity |
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